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Finding the Third Proportional to 354,850.50 and 564,919.50

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Solution

The third proportional to 354,850.50 and 564,919.50 is: 899,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,850.50 : 564,919.50 = 564,919.50 : x
  2. Step 2: Convert to fraction form
    354,850.50/564,919.50 = 564,919.50/x
  3. Step 3: Cross multiply
    354,850.50x = 564,919.50 × 564,919.50
  4. Step 4: Simplify right side
    354,850.50x = 319,134,041,480.25
  5. Step 5: Solve for x
    x = 319,134,041,480.25/354,850.50
  6. Step 6: Final answer
    x = 899,347.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.