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Finding the Third Proportional to 247,320 and 533,040

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Solution

The third proportional to 247,320 and 533,040 is: 1,148,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,320 : 533,040 = 533,040 : x
  2. Step 2: Convert to fraction form
    247,320/533,040 = 533,040/x
  3. Step 3: Cross multiply
    247,320x = 533,040 × 533,040
  4. Step 4: Simplify right side
    247,320x = 284,131,641,600
  5. Step 5: Solve for x
    x = 284,131,641,600/247,320
  6. Step 6: Final answer
    x = 1,148,842.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.