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Finding the Third Proportional to 485,033.50 and 652,500

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Solution

The third proportional to 485,033.50 and 652,500 is: 877,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,033.50 : 652,500 = 652,500 : x
  2. Step 2: Convert to fraction form
    485,033.50/652,500 = 652,500/x
  3. Step 3: Cross multiply
    485,033.50x = 652,500 × 652,500
  4. Step 4: Simplify right side
    485,033.50x = 425,756,250,000
  5. Step 5: Solve for x
    x = 425,756,250,000/485,033.50
  6. Step 6: Final answer
    x = 877,787.31

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.