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Finding the Third Proportional to 296,436 and 458,532

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Solution

The third proportional to 296,436 and 458,532 is: 709,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,436 : 458,532 = 458,532 : x
  2. Step 2: Convert to fraction form
    296,436/458,532 = 458,532/x
  3. Step 3: Cross multiply
    296,436x = 458,532 × 458,532
  4. Step 4: Simplify right side
    296,436x = 210,251,595,024
  5. Step 5: Solve for x
    x = 210,251,595,024/296,436
  6. Step 6: Final answer
    x = 709,264.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.