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Finding the Third Proportional to 386,491 and 534,046

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Solution

The third proportional to 386,491 and 534,046 is: 737,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,491 : 534,046 = 534,046 : x
  2. Step 2: Convert to fraction form
    386,491/534,046 = 534,046/x
  3. Step 3: Cross multiply
    386,491x = 534,046 × 534,046
  4. Step 4: Simplify right side
    386,491x = 285,205,130,116
  5. Step 5: Solve for x
    x = 285,205,130,116/386,491
  6. Step 6: Final answer
    x = 737,934.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.