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Finding the Third Proportional to 261,754 and 542,947

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Solution

The third proportional to 261,754 and 542,947 is: 1,126,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,754 : 542,947 = 542,947 : x
  2. Step 2: Convert to fraction form
    261,754/542,947 = 542,947/x
  3. Step 3: Cross multiply
    261,754x = 542,947 × 542,947
  4. Step 4: Simplify right side
    261,754x = 294,791,444,809
  5. Step 5: Solve for x
    x = 294,791,444,809/261,754
  6. Step 6: Final answer
    x = 1,126,215.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.