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Finding the Third Proportional to 357,460 and 527,868

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Solution

The third proportional to 357,460 and 527,868 is: 779,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,460 : 527,868 = 527,868 : x
  2. Step 2: Convert to fraction form
    357,460/527,868 = 527,868/x
  3. Step 3: Cross multiply
    357,460x = 527,868 × 527,868
  4. Step 4: Simplify right side
    357,460x = 278,644,625,424
  5. Step 5: Solve for x
    x = 278,644,625,424/357,460
  6. Step 6: Final answer
    x = 779,512.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.