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Finding the Third Proportional to 449,632,875 and 674,449,267

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Solution

The third proportional to 449,632,875 and 674,449,267 is: 1,011,673,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,632,875 : 674,449,267 = 674,449,267 : x
  2. Step 2: Convert to fraction form
    449,632,875/674,449,267 = 674,449,267/x
  3. Step 3: Cross multiply
    449,632,875x = 674,449,267 × 674,449,267
  4. Step 4: Simplify right side
    449,632,875x = 454,881,813,756,837,312
  5. Step 5: Solve for x
    x = 454,881,813,756,837,312/449,632,875
  6. Step 6: Final answer
    x = 1,011,673,832.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.