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Finding the Third Proportional to 247,364 and 542,071

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Solution

The third proportional to 247,364 and 542,071 is: 1,187,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,364 : 542,071 = 542,071 : x
  2. Step 2: Convert to fraction form
    247,364/542,071 = 542,071/x
  3. Step 3: Cross multiply
    247,364x = 542,071 × 542,071
  4. Step 4: Simplify right side
    247,364x = 293,840,969,041
  5. Step 5: Solve for x
    x = 293,840,969,041/247,364
  6. Step 6: Final answer
    x = 1,187,888.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.