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Finding the Third Proportional to 573,404 and 802,002

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Solution

The third proportional to 573,404 and 802,002 is: 1,121,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,404 : 802,002 = 802,002 : x
  2. Step 2: Convert to fraction form
    573,404/802,002 = 802,002/x
  3. Step 3: Cross multiply
    573,404x = 802,002 × 802,002
  4. Step 4: Simplify right side
    573,404x = 643,207,208,004
  5. Step 5: Solve for x
    x = 643,207,208,004/573,404
  6. Step 6: Final answer
    x = 1,121,734.78

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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.