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Finding the Third Proportional to 375,384 and 566,304

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Solution

The third proportional to 375,384 and 566,304 is: 854,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,384 : 566,304 = 566,304 : x
  2. Step 2: Convert to fraction form
    375,384/566,304 = 566,304/x
  3. Step 3: Cross multiply
    375,384x = 566,304 × 566,304
  4. Step 4: Simplify right side
    375,384x = 320,700,220,416
  5. Step 5: Solve for x
    x = 320,700,220,416/375,384
  6. Step 6: Final answer
    x = 854,325.76

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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.