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Finding the Third Proportional to 527,292 and 817,152

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Solution

The third proportional to 527,292 and 817,152 is: 1,266,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,292 : 817,152 = 817,152 : x
  2. Step 2: Convert to fraction form
    527,292/817,152 = 817,152/x
  3. Step 3: Cross multiply
    527,292x = 817,152 × 817,152
  4. Step 4: Simplify right side
    527,292x = 667,737,391,104
  5. Step 5: Solve for x
    x = 667,737,391,104/527,292
  6. Step 6: Final answer
    x = 1,266,352.21

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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.