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Finding the Third Proportional to 676,776 and 952,207

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Solution

The third proportional to 676,776 and 952,207 is: 1,339,731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,776 : 952,207 = 952,207 : x
  2. Step 2: Convert to fraction form
    676,776/952,207 = 952,207/x
  3. Step 3: Cross multiply
    676,776x = 952,207 × 952,207
  4. Step 4: Simplify right side
    676,776x = 906,698,170,849
  5. Step 5: Solve for x
    x = 906,698,170,849/676,776
  6. Step 6: Final answer
    x = 1,339,731.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.