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Finding the Third Proportional to 124,583 and 292,478

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Solution

The third proportional to 124,583 and 292,478 is: 686,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,583 : 292,478 = 292,478 : x
  2. Step 2: Convert to fraction form
    124,583/292,478 = 292,478/x
  3. Step 3: Cross multiply
    124,583x = 292,478 × 292,478
  4. Step 4: Simplify right side
    124,583x = 85,543,380,484
  5. Step 5: Solve for x
    x = 85,543,380,484/124,583
  6. Step 6: Final answer
    x = 686,637.67

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.