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Finding the Third Proportional to 247,692 and 530,373

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Solution

The third proportional to 247,692 and 530,373 is: 1,135,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,692 : 530,373 = 530,373 : x
  2. Step 2: Convert to fraction form
    247,692/530,373 = 530,373/x
  3. Step 3: Cross multiply
    247,692x = 530,373 × 530,373
  4. Step 4: Simplify right side
    247,692x = 281,295,519,129
  5. Step 5: Solve for x
    x = 281,295,519,129/247,692
  6. Step 6: Final answer
    x = 1,135,666.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.