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Finding the Third Proportional to 240,731 and 521,602

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Solution

The third proportional to 240,731 and 521,602 is: 1,130,177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,731 : 521,602 = 521,602 : x
  2. Step 2: Convert to fraction form
    240,731/521,602 = 521,602/x
  3. Step 3: Cross multiply
    240,731x = 521,602 × 521,602
  4. Step 4: Simplify right side
    240,731x = 272,068,646,404
  5. Step 5: Solve for x
    x = 272,068,646,404/240,731
  6. Step 6: Final answer
    x = 1,130,177.03

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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.