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Finding the Third Proportional to 367,008 and 564,276

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Solution

The third proportional to 367,008 and 564,276 is: 867,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,008 : 564,276 = 564,276 : x
  2. Step 2: Convert to fraction form
    367,008/564,276 = 564,276/x
  3. Step 3: Cross multiply
    367,008x = 564,276 × 564,276
  4. Step 4: Simplify right side
    367,008x = 318,407,404,176
  5. Step 5: Solve for x
    x = 318,407,404,176/367,008
  6. Step 6: Final answer
    x = 867,576.20

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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.