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Finding the Third Proportional to 285,385.50 and 614,920.50

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Solution

The third proportional to 285,385.50 and 614,920.50 is: 1,324,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,385.50 : 614,920.50 = 614,920.50 : x
  2. Step 2: Convert to fraction form
    285,385.50/614,920.50 = 614,920.50/x
  3. Step 3: Cross multiply
    285,385.50x = 614,920.50 × 614,920.50
  4. Step 4: Simplify right side
    285,385.50x = 378,127,221,320.25
  5. Step 5: Solve for x
    x = 378,127,221,320.25/285,385.50
  6. Step 6: Final answer
    x = 1,324,969.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.