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Finding the Third Proportional to 332,579 and 729,537

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Solution

The third proportional to 332,579 and 729,537 is: 1,600,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,579 : 729,537 = 729,537 : x
  2. Step 2: Convert to fraction form
    332,579/729,537 = 729,537/x
  3. Step 3: Cross multiply
    332,579x = 729,537 × 729,537
  4. Step 4: Simplify right side
    332,579x = 532,224,234,369
  5. Step 5: Solve for x
    x = 532,224,234,369/332,579
  6. Step 6: Final answer
    x = 1,600,294.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.