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Finding the Third Proportional to 864.38 and 1,606.13

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Solution

The third proportional to 864.38 and 1,606.13 is: 2,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.38 : 1,606.13 = 1,606.13 : x
  2. Step 2: Convert to fraction form
    864.38/1,606.13 = 1,606.13/x
  3. Step 3: Cross multiply
    864.38x = 1,606.13 × 1,606.13
  4. Step 4: Simplify right side
    864.38x = 2,579,637.52
  5. Step 5: Solve for x
    x = 2,579,637.52/864.38
  6. Step 6: Final answer
    x = 2,984.40

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.