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Finding the Third Proportional to 375,524 and 566,476

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Solution

The third proportional to 375,524 and 566,476 is: 854,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,524 : 566,476 = 566,476 : x
  2. Step 2: Convert to fraction form
    375,524/566,476 = 566,476/x
  3. Step 3: Cross multiply
    375,524x = 566,476 × 566,476
  4. Step 4: Simplify right side
    375,524x = 320,895,058,576
  5. Step 5: Solve for x
    x = 320,895,058,576/375,524
  6. Step 6: Final answer
    x = 854,526.10

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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.