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Finding the Third Proportional to 310,077 and 467,545.50

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Solution

The third proportional to 310,077 and 467,545.50 is: 704,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,077 : 467,545.50 = 467,545.50 : x
  2. Step 2: Convert to fraction form
    310,077/467,545.50 = 467,545.50/x
  3. Step 3: Cross multiply
    310,077x = 467,545.50 × 467,545.50
  4. Step 4: Simplify right side
    310,077x = 218,598,794,570.25
  5. Step 5: Solve for x
    x = 218,598,794,570.25/310,077
  6. Step 6: Final answer
    x = 704,982.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.