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Finding the Third Proportional to 573,384 and 801,972

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Solution

The third proportional to 573,384 and 801,972 is: 1,121,689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,384 : 801,972 = 801,972 : x
  2. Step 2: Convert to fraction form
    573,384/801,972 = 801,972/x
  3. Step 3: Cross multiply
    573,384x = 801,972 × 801,972
  4. Step 4: Simplify right side
    573,384x = 643,159,088,784
  5. Step 5: Solve for x
    x = 643,159,088,784/573,384
  6. Step 6: Final answer
    x = 1,121,689.98

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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.