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Finding the Third Proportional to 360,740 and 560,758

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Solution

The third proportional to 360,740 and 560,758 is: 871,679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,740 : 560,758 = 560,758 : x
  2. Step 2: Convert to fraction form
    360,740/560,758 = 560,758/x
  3. Step 3: Cross multiply
    360,740x = 560,758 × 560,758
  4. Step 4: Simplify right side
    360,740x = 314,449,534,564
  5. Step 5: Solve for x
    x = 314,449,534,564/360,740
  6. Step 6: Final answer
    x = 871,679.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.