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Finding the Third Proportional to 378,960 and 547,488

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Solution

The third proportional to 378,960 and 547,488 is: 790,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,960 : 547,488 = 547,488 : x
  2. Step 2: Convert to fraction form
    378,960/547,488 = 547,488/x
  3. Step 3: Cross multiply
    378,960x = 547,488 × 547,488
  4. Step 4: Simplify right side
    378,960x = 299,743,110,144
  5. Step 5: Solve for x
    x = 299,743,110,144/378,960
  6. Step 6: Final answer
    x = 790,962.40

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.