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Finding the Third Proportional to 366,960 and 564,210

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Solution

The third proportional to 366,960 and 564,210 is: 867,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,960 : 564,210 = 564,210 : x
  2. Step 2: Convert to fraction form
    366,960/564,210 = 564,210/x
  3. Step 3: Cross multiply
    366,960x = 564,210 × 564,210
  4. Step 4: Simplify right side
    366,960x = 318,332,924,100
  5. Step 5: Solve for x
    x = 318,332,924,100/366,960
  6. Step 6: Final answer
    x = 867,486.71

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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.