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Finding the Third Proportional to 276,269 and 415,428

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Solution

The third proportional to 276,269 and 415,428 is: 624,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,269 : 415,428 = 415,428 : x
  2. Step 2: Convert to fraction form
    276,269/415,428 = 415,428/x
  3. Step 3: Cross multiply
    276,269x = 415,428 × 415,428
  4. Step 4: Simplify right side
    276,269x = 172,580,423,184
  5. Step 5: Solve for x
    x = 172,580,423,184/276,269
  6. Step 6: Final answer
    x = 624,682.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.