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Finding the Third Proportional to 464,527.13 and 678,864.38

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Solution

The third proportional to 464,527.13 and 678,864.38 is: 992,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,527.13 : 678,864.38 = 678,864.38 : x
  2. Step 2: Convert to fraction form
    464,527.13/678,864.38 = 678,864.38/x
  3. Step 3: Cross multiply
    464,527.13x = 678,864.38 × 678,864.38
  4. Step 4: Simplify right side
    464,527.13x = 460,856,839,644.14
  5. Step 5: Solve for x
    x = 460,856,839,644.14/464,527.13
  6. Step 6: Final answer
    x = 992,098.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.