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Finding the Third Proportional to 297,056 and 463,809

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Solution

The third proportional to 297,056 and 463,809 is: 724,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,056 : 463,809 = 463,809 : x
  2. Step 2: Convert to fraction form
    297,056/463,809 = 463,809/x
  3. Step 3: Cross multiply
    297,056x = 463,809 × 463,809
  4. Step 4: Simplify right side
    297,056x = 215,118,788,481
  5. Step 5: Solve for x
    x = 215,118,788,481/297,056
  6. Step 6: Final answer
    x = 724,169.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.