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Finding the Third Proportional to 366,970 and 564,226

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Solution

The third proportional to 366,970 and 564,226 is: 867,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,970 : 564,226 = 564,226 : x
  2. Step 2: Convert to fraction form
    366,970/564,226 = 564,226/x
  3. Step 3: Cross multiply
    366,970x = 564,226 × 564,226
  4. Step 4: Simplify right side
    366,970x = 318,350,979,076
  5. Step 5: Solve for x
    x = 318,350,979,076/366,970
  6. Step 6: Final answer
    x = 867,512.27

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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.