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Finding the Third Proportional to 369,486 and 541,066

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Solution

The third proportional to 369,486 and 541,066 is: 792,323.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,486 : 541,066 = 541,066 : x
  2. Step 2: Convert to fraction form
    369,486/541,066 = 541,066/x
  3. Step 3: Cross multiply
    369,486x = 541,066 × 541,066
  4. Step 4: Simplify right side
    369,486x = 292,752,416,356
  5. Step 5: Solve for x
    x = 292,752,416,356/369,486
  6. Step 6: Final answer
    x = 792,323.43

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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.