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Finding the Third Proportional to 484,359.50 and 664,893.75

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Solution

The third proportional to 484,359.50 and 664,893.75 is: 912,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,359.50 : 664,893.75 = 664,893.75 : x
  2. Step 2: Convert to fraction form
    484,359.50/664,893.75 = 664,893.75/x
  3. Step 3: Cross multiply
    484,359.50x = 664,893.75 × 664,893.75
  4. Step 4: Simplify right side
    484,359.50x = 442,083,698,789.06
  5. Step 5: Solve for x
    x = 442,083,698,789.06/484,359.50
  6. Step 6: Final answer
    x = 912,718.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.