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Finding the Third Proportional to 240,396 and 554,040

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Solution

The third proportional to 240,396 and 554,040 is: 1,276,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,396 : 554,040 = 554,040 : x
  2. Step 2: Convert to fraction form
    240,396/554,040 = 554,040/x
  3. Step 3: Cross multiply
    240,396x = 554,040 × 554,040
  4. Step 4: Simplify right side
    240,396x = 306,960,321,600
  5. Step 5: Solve for x
    x = 306,960,321,600/240,396
  6. Step 6: Final answer
    x = 1,276,894.46

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.