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Finding the Third Proportional to 717,810 and 975,267

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Solution

The third proportional to 717,810 and 975,267 is: 1,325,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,810 : 975,267 = 975,267 : x
  2. Step 2: Convert to fraction form
    717,810/975,267 = 975,267/x
  3. Step 3: Cross multiply
    717,810x = 975,267 × 975,267
  4. Step 4: Simplify right side
    717,810x = 951,145,721,289
  5. Step 5: Solve for x
    x = 951,145,721,289/717,810
  6. Step 6: Final answer
    x = 1,325,066.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.