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Finding the Third Proportional to 717,646.50 and 975,057.75

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Solution

The third proportional to 717,646.50 and 975,057.75 is: 1,324,799.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,646.50 : 975,057.75 = 975,057.75 : x
  2. Step 2: Convert to fraction form
    717,646.50/975,057.75 = 975,057.75/x
  3. Step 3: Cross multiply
    717,646.50x = 975,057.75 × 975,057.75
  4. Step 4: Simplify right side
    717,646.50x = 950,737,615,835.06
  5. Step 5: Solve for x
    x = 950,737,615,835.06/717,646.50
  6. Step 6: Final answer
    x = 1,324,799.35

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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.