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Finding the Third Proportional to 370,410 and 553,422

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Solution

The third proportional to 370,410 and 553,422 is: 826,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,410 : 553,422 = 553,422 : x
  2. Step 2: Convert to fraction form
    370,410/553,422 = 553,422/x
  3. Step 3: Cross multiply
    370,410x = 553,422 × 553,422
  4. Step 4: Simplify right side
    370,410x = 306,275,910,084
  5. Step 5: Solve for x
    x = 306,275,910,084/370,410
  6. Step 6: Final answer
    x = 826,856.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.