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Finding the Third Proportional to 276,220 and 426,534

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Solution

The third proportional to 276,220 and 426,534 is: 658,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,220 : 426,534 = 426,534 : x
  2. Step 2: Convert to fraction form
    276,220/426,534 = 426,534/x
  3. Step 3: Cross multiply
    276,220x = 426,534 × 426,534
  4. Step 4: Simplify right side
    276,220x = 181,931,253,156
  5. Step 5: Solve for x
    x = 181,931,253,156/276,220
  6. Step 6: Final answer
    x = 658,646.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.