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Finding the Third Proportional to 215,464.50 and 462,681

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Solution

The third proportional to 215,464.50 and 462,681 is: 993,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,464.50 : 462,681 = 462,681 : x
  2. Step 2: Convert to fraction form
    215,464.50/462,681 = 462,681/x
  3. Step 3: Cross multiply
    215,464.50x = 462,681 × 462,681
  4. Step 4: Simplify right side
    215,464.50x = 214,073,707,761
  5. Step 5: Solve for x
    x = 214,073,707,761/215,464.50
  6. Step 6: Final answer
    x = 993,545.14

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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.