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Finding the Third Proportional to 369,492 and 541,080

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Solution

The third proportional to 369,492 and 541,080 is: 792,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,492 : 541,080 = 541,080 : x
  2. Step 2: Convert to fraction form
    369,492/541,080 = 541,080/x
  3. Step 3: Cross multiply
    369,492x = 541,080 × 541,080
  4. Step 4: Simplify right side
    369,492x = 292,767,566,400
  5. Step 5: Solve for x
    x = 292,767,566,400/369,492
  6. Step 6: Final answer
    x = 792,351.57

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