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Finding the Third Proportional to 240,466 and 375,257

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Solution

The third proportional to 240,466 and 375,257 is: 585,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,466 : 375,257 = 375,257 : x
  2. Step 2: Convert to fraction form
    240,466/375,257 = 375,257/x
  3. Step 3: Cross multiply
    240,466x = 375,257 × 375,257
  4. Step 4: Simplify right side
    240,466x = 140,817,816,049
  5. Step 5: Solve for x
    x = 140,817,816,049/240,466
  6. Step 6: Final answer
    x = 585,603.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.