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Finding the Third Proportional to 602,252 and 886,758

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Solution

The third proportional to 602,252 and 886,758 is: 1,305,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,252 : 886,758 = 886,758 : x
  2. Step 2: Convert to fraction form
    602,252/886,758 = 886,758/x
  3. Step 3: Cross multiply
    602,252x = 886,758 × 886,758
  4. Step 4: Simplify right side
    602,252x = 786,339,750,564
  5. Step 5: Solve for x
    x = 786,339,750,564/602,252
  6. Step 6: Final answer
    x = 1,305,665.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.