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Finding the Third Proportional to 240,724 and 521,624

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Solution

The third proportional to 240,724 and 521,624 is: 1,130,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,724 : 521,624 = 521,624 : x
  2. Step 2: Convert to fraction form
    240,724/521,624 = 521,624/x
  3. Step 3: Cross multiply
    240,724x = 521,624 × 521,624
  4. Step 4: Simplify right side
    240,724x = 272,091,597,376
  5. Step 5: Solve for x
    x = 272,091,597,376/240,724
  6. Step 6: Final answer
    x = 1,130,305.23

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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.