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Finding the Third Proportional to 573,446 and 802,045

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Solution

The third proportional to 573,446 and 802,045 is: 1,121,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,446 : 802,045 = 802,045 : x
  2. Step 2: Convert to fraction form
    573,446/802,045 = 802,045/x
  3. Step 3: Cross multiply
    573,446x = 802,045 × 802,045
  4. Step 4: Simplify right side
    573,446x = 643,276,182,025
  5. Step 5: Solve for x
    x = 643,276,182,025/573,446
  6. Step 6: Final answer
    x = 1,121,772.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.