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Finding the Third Proportional to 215,925.75 and 464,655.38

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Solution

The third proportional to 215,925.75 and 464,655.38 is: 999,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,925.75 : 464,655.38 = 464,655.38 : x
  2. Step 2: Convert to fraction form
    215,925.75/464,655.38 = 464,655.38/x
  3. Step 3: Cross multiply
    215,925.75x = 464,655.38 × 464,655.38
  4. Step 4: Simplify right side
    215,925.75x = 215,904,617,516.39
  5. Step 5: Solve for x
    x = 215,904,617,516.39/215,925.75
  6. Step 6: Final answer
    x = 999,902.13

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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.