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Finding the Third Proportional to 544,020 and 599,424

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Solution

The third proportional to 544,020 and 599,424 is: 660,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,020 : 599,424 = 599,424 : x
  2. Step 2: Convert to fraction form
    544,020/599,424 = 599,424/x
  3. Step 3: Cross multiply
    544,020x = 599,424 × 599,424
  4. Step 4: Simplify right side
    544,020x = 359,309,131,776
  5. Step 5: Solve for x
    x = 359,309,131,776/544,020
  6. Step 6: Final answer
    x = 660,470.45

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.