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Finding the Third Proportional to 504,570 and 802,371

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Solution

The third proportional to 504,570 and 802,371 is: 1,275,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,570 : 802,371 = 802,371 : x
  2. Step 2: Convert to fraction form
    504,570/802,371 = 802,371/x
  3. Step 3: Cross multiply
    504,570x = 802,371 × 802,371
  4. Step 4: Simplify right side
    504,570x = 643,799,221,641
  5. Step 5: Solve for x
    x = 643,799,221,641/504,570
  6. Step 6: Final answer
    x = 1,275,936.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.