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Finding the Third Proportional to 472,540.50 and 758,013

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Solution

The third proportional to 472,540.50 and 758,013 is: 1,215,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,540.50 : 758,013 = 758,013 : x
  2. Step 2: Convert to fraction form
    472,540.50/758,013 = 758,013/x
  3. Step 3: Cross multiply
    472,540.50x = 758,013 × 758,013
  4. Step 4: Simplify right side
    472,540.50x = 574,583,708,169
  5. Step 5: Solve for x
    x = 574,583,708,169/472,540.50
  6. Step 6: Final answer
    x = 1,215,945.95

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.