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Finding the Third Proportional to 368,920.50 and 564,086.25

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Solution

The third proportional to 368,920.50 and 564,086.25 is: 862,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,920.50 : 564,086.25 = 564,086.25 : x
  2. Step 2: Convert to fraction form
    368,920.50/564,086.25 = 564,086.25/x
  3. Step 3: Cross multiply
    368,920.50x = 564,086.25 × 564,086.25
  4. Step 4: Simplify right side
    368,920.50x = 318,193,297,439.06
  5. Step 5: Solve for x
    x = 318,193,297,439.06/368,920.50
  6. Step 6: Final answer
    x = 862,498.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.