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Finding the Third Proportional to 312,177.50 and 467,013.50

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Solution

The third proportional to 312,177.50 and 467,013.50 is: 698,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,177.50 : 467,013.50 = 467,013.50 : x
  2. Step 2: Convert to fraction form
    312,177.50/467,013.50 = 467,013.50/x
  3. Step 3: Cross multiply
    312,177.50x = 467,013.50 × 467,013.50
  4. Step 4: Simplify right side
    312,177.50x = 218,101,609,182.25
  5. Step 5: Solve for x
    x = 218,101,609,182.25/312,177.50
  6. Step 6: Final answer
    x = 698,646.15

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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.