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Finding the Third Proportional to 468,200.25 and 724,541.63

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Solution

The third proportional to 468,200.25 and 724,541.63 is: 1,121,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,200.25 : 724,541.63 = 724,541.63 : x
  2. Step 2: Convert to fraction form
    468,200.25/724,541.63 = 724,541.63/x
  3. Step 3: Cross multiply
    468,200.25x = 724,541.63 × 724,541.63
  4. Step 4: Simplify right side
    468,200.25x = 524,960,566,357.64
  5. Step 5: Solve for x
    x = 524,960,566,357.64/468,200.25
  6. Step 6: Final answer
    x = 1,121,230.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.