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Finding the Third Proportional to 240,729 and 521,598

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Solution

The third proportional to 240,729 and 521,598 is: 1,130,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,729 : 521,598 = 521,598 : x
  2. Step 2: Convert to fraction form
    240,729/521,598 = 521,598/x
  3. Step 3: Cross multiply
    240,729x = 521,598 × 521,598
  4. Step 4: Simplify right side
    240,729x = 272,064,473,604
  5. Step 5: Solve for x
    x = 272,064,473,604/240,729
  6. Step 6: Final answer
    x = 1,130,169.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.