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Finding the Third Proportional to 357,038 and 521,874

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Solution

The third proportional to 357,038 and 521,874 is: 762,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,038 : 521,874 = 521,874 : x
  2. Step 2: Convert to fraction form
    357,038/521,874 = 521,874/x
  3. Step 3: Cross multiply
    357,038x = 521,874 × 521,874
  4. Step 4: Simplify right side
    357,038x = 272,352,471,876
  5. Step 5: Solve for x
    x = 272,352,471,876/357,038
  6. Step 6: Final answer
    x = 762,810.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.