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Finding the Third Proportional to 247,913 and 537,041

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Solution

The third proportional to 247,913 and 537,041 is: 1,163,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,913 : 537,041 = 537,041 : x
  2. Step 2: Convert to fraction form
    247,913/537,041 = 537,041/x
  3. Step 3: Cross multiply
    247,913x = 537,041 × 537,041
  4. Step 4: Simplify right side
    247,913x = 288,413,035,681
  5. Step 5: Solve for x
    x = 288,413,035,681/247,913
  6. Step 6: Final answer
    x = 1,163,363.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.