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Finding the Third Proportional to 369,494 and 541,078

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Solution

The third proportional to 369,494 and 541,078 is: 792,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,494 : 541,078 = 541,078 : x
  2. Step 2: Convert to fraction form
    369,494/541,078 = 541,078/x
  3. Step 3: Cross multiply
    369,494x = 541,078 × 541,078
  4. Step 4: Simplify right side
    369,494x = 292,765,402,084
  5. Step 5: Solve for x
    x = 292,765,402,084/369,494
  6. Step 6: Final answer
    x = 792,341.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.