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Finding the Third Proportional to 250,882 and 542,658

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Solution

The third proportional to 250,882 and 542,658 is: 1,173,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,882 : 542,658 = 542,658 : x
  2. Step 2: Convert to fraction form
    250,882/542,658 = 542,658/x
  3. Step 3: Cross multiply
    250,882x = 542,658 × 542,658
  4. Step 4: Simplify right side
    250,882x = 294,477,704,964
  5. Step 5: Solve for x
    x = 294,477,704,964/250,882
  6. Step 6: Final answer
    x = 1,173,769.76

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