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Finding the Third Proportional to 420,432 and 652,758

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Solution

The third proportional to 420,432 and 652,758 is: 1,013,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,432 : 652,758 = 652,758 : x
  2. Step 2: Convert to fraction form
    420,432/652,758 = 652,758/x
  3. Step 3: Cross multiply
    420,432x = 652,758 × 652,758
  4. Step 4: Simplify right side
    420,432x = 426,093,006,564
  5. Step 5: Solve for x
    x = 426,093,006,564/420,432
  6. Step 6: Final answer
    x = 1,013,464.74

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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.