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Finding the Third Proportional to 370,952 and 558,156

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Solution

The third proportional to 370,952 and 558,156 is: 839,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,952 : 558,156 = 558,156 : x
  2. Step 2: Convert to fraction form
    370,952/558,156 = 558,156/x
  3. Step 3: Cross multiply
    370,952x = 558,156 × 558,156
  4. Step 4: Simplify right side
    370,952x = 311,538,120,336
  5. Step 5: Solve for x
    x = 311,538,120,336/370,952
  6. Step 6: Final answer
    x = 839,834.05

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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.