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Finding the Third Proportional to 375,536 and 566,496

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Solution

The third proportional to 375,536 and 566,496 is: 854,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,536 : 566,496 = 566,496 : x
  2. Step 2: Convert to fraction form
    375,536/566,496 = 566,496/x
  3. Step 3: Cross multiply
    375,536x = 566,496 × 566,496
  4. Step 4: Simplify right side
    375,536x = 320,917,718,016
  5. Step 5: Solve for x
    x = 320,917,718,016/375,536
  6. Step 6: Final answer
    x = 854,559.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.