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Finding the Third Proportional to 276,503.50 and 564,671

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Solution

The third proportional to 276,503.50 and 564,671 is: 1,153,162.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,503.50 : 564,671 = 564,671 : x
  2. Step 2: Convert to fraction form
    276,503.50/564,671 = 564,671/x
  3. Step 3: Cross multiply
    276,503.50x = 564,671 × 564,671
  4. Step 4: Simplify right side
    276,503.50x = 318,853,338,241
  5. Step 5: Solve for x
    x = 318,853,338,241/276,503.50
  6. Step 6: Final answer
    x = 1,153,162.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.