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Finding the Third Proportional to 288,410 and 619,478

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Solution

The third proportional to 288,410 and 619,478 is: 1,330,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,410 : 619,478 = 619,478 : x
  2. Step 2: Convert to fraction form
    288,410/619,478 = 619,478/x
  3. Step 3: Cross multiply
    288,410x = 619,478 × 619,478
  4. Step 4: Simplify right side
    288,410x = 383,752,992,484
  5. Step 5: Solve for x
    x = 383,752,992,484/288,410
  6. Step 6: Final answer
    x = 1,330,581.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.