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Finding the Third Proportional to 356,404 and 471,102

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Solution

The third proportional to 356,404 and 471,102 is: 622,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,404 : 471,102 = 471,102 : x
  2. Step 2: Convert to fraction form
    356,404/471,102 = 471,102/x
  3. Step 3: Cross multiply
    356,404x = 471,102 × 471,102
  4. Step 4: Simplify right side
    356,404x = 221,937,094,404
  5. Step 5: Solve for x
    x = 221,937,094,404/356,404
  6. Step 6: Final answer
    x = 622,712.13

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.