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Finding the Third Proportional to 367,048 and 564,351

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Solution

The third proportional to 367,048 and 564,351 is: 867,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,048 : 564,351 = 564,351 : x
  2. Step 2: Convert to fraction form
    367,048/564,351 = 564,351/x
  3. Step 3: Cross multiply
    367,048x = 564,351 × 564,351
  4. Step 4: Simplify right side
    367,048x = 318,492,051,201
  5. Step 5: Solve for x
    x = 318,492,051,201/367,048
  6. Step 6: Final answer
    x = 867,712.26

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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.