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Finding the Third Proportional to 717,812 and 975,270

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Solution

The third proportional to 717,812 and 975,270 is: 1,325,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,812 : 975,270 = 975,270 : x
  2. Step 2: Convert to fraction form
    717,812/975,270 = 975,270/x
  3. Step 3: Cross multiply
    717,812x = 975,270 × 975,270
  4. Step 4: Simplify right side
    717,812x = 951,151,572,900
  5. Step 5: Solve for x
    x = 951,151,572,900/717,812
  6. Step 6: Final answer
    x = 1,325,070.59

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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.