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Finding the Third Proportional to 357,264,492.75 and 769,269,048.75

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Solution

The third proportional to 357,264,492.75 and 769,269,048.75 is: 1,656,405,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,264,492.75 : 769,269,048.75 = 769,269,048.75 : x
  2. Step 2: Convert to fraction form
    357,264,492.75/769,269,048.75 = 769,269,048.75/x
  3. Step 3: Cross multiply
    357,264,492.75x = 769,269,048.75 × 769,269,048.75
  4. Step 4: Simplify right side
    357,264,492.75x = 591,774,869,364,729,856
  5. Step 5: Solve for x
    x = 591,774,869,364,729,856/357,264,492.75
  6. Step 6: Final answer
    x = 1,656,405,496.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.