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Finding the Third Proportional to 357,225.75 and 772,674.75

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Solution

The third proportional to 357,225.75 and 772,674.75 is: 1,671,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,225.75 : 772,674.75 = 772,674.75 : x
  2. Step 2: Convert to fraction form
    357,225.75/772,674.75 = 772,674.75/x
  3. Step 3: Cross multiply
    357,225.75x = 772,674.75 × 772,674.75
  4. Step 4: Simplify right side
    357,225.75x = 597,026,269,287.56
  5. Step 5: Solve for x
    x = 597,026,269,287.56/357,225.75
  6. Step 6: Final answer
    x = 1,671,285.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.