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Finding the Third Proportional to 313,632 and 471,156.75

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Solution

The third proportional to 313,632 and 471,156.75 is: 707,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,632 : 471,156.75 = 471,156.75 : x
  2. Step 2: Convert to fraction form
    313,632/471,156.75 = 471,156.75/x
  3. Step 3: Cross multiply
    313,632x = 471,156.75 × 471,156.75
  4. Step 4: Simplify right side
    313,632x = 221,988,683,070.56
  5. Step 5: Solve for x
    x = 221,988,683,070.56/313,632
  6. Step 6: Final answer
    x = 707,799.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.