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Finding the Third Proportional to 367,044 and 564,345

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Solution

The third proportional to 367,044 and 564,345 is: 867,703.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,044 : 564,345 = 564,345 : x
  2. Step 2: Convert to fraction form
    367,044/564,345 = 564,345/x
  3. Step 3: Cross multiply
    367,044x = 564,345 × 564,345
  4. Step 4: Simplify right side
    367,044x = 318,485,279,025
  5. Step 5: Solve for x
    x = 318,485,279,025/367,044
  6. Step 6: Final answer
    x = 867,703.27

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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.