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Finding the Third Proportional to 543,138.75 and 798,070.50

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Solution

The third proportional to 543,138.75 and 798,070.50 is: 1,172,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,138.75 : 798,070.50 = 798,070.50 : x
  2. Step 2: Convert to fraction form
    543,138.75/798,070.50 = 798,070.50/x
  3. Step 3: Cross multiply
    543,138.75x = 798,070.50 × 798,070.50
  4. Step 4: Simplify right side
    543,138.75x = 636,916,522,970.25
  5. Step 5: Solve for x
    x = 636,916,522,970.25/543,138.75
  6. Step 6: Final answer
    x = 1,172,658.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.