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Finding the Third Proportional to 240,704 and 521,584

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Solution

The third proportional to 240,704 and 521,584 is: 1,130,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,704 : 521,584 = 521,584 : x
  2. Step 2: Convert to fraction form
    240,704/521,584 = 521,584/x
  3. Step 3: Cross multiply
    240,704x = 521,584 × 521,584
  4. Step 4: Simplify right side
    240,704x = 272,049,869,056
  5. Step 5: Solve for x
    x = 272,049,869,056/240,704
  6. Step 6: Final answer
    x = 1,130,225.79

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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.