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Finding the Third Proportional to 360,726 and 560,737

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Solution

The third proportional to 360,726 and 560,737 is: 871,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,726 : 560,737 = 560,737 : x
  2. Step 2: Convert to fraction form
    360,726/560,737 = 560,737/x
  3. Step 3: Cross multiply
    360,726x = 560,737 × 560,737
  4. Step 4: Simplify right side
    360,726x = 314,425,983,169
  5. Step 5: Solve for x
    x = 314,425,983,169/360,726
  6. Step 6: Final answer
    x = 871,647.69

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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.