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Finding the Third Proportional to 336,381.75 and 560,614.50

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Solution

The third proportional to 336,381.75 and 560,614.50 is: 934,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,381.75 : 560,614.50 = 560,614.50 : x
  2. Step 2: Convert to fraction form
    336,381.75/560,614.50 = 560,614.50/x
  3. Step 3: Cross multiply
    336,381.75x = 560,614.50 × 560,614.50
  4. Step 4: Simplify right side
    336,381.75x = 314,288,617,610.25
  5. Step 5: Solve for x
    x = 314,288,617,610.25/336,381.75
  6. Step 6: Final answer
    x = 934,321.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.