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Finding the Third Proportional to 459,865.50 and 1,005,267

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Solution

The third proportional to 459,865.50 and 1,005,267 is: 2,197,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,865.50 : 1,005,267 = 1,005,267 : x
  2. Step 2: Convert to fraction form
    459,865.50/1,005,267 = 1,005,267/x
  3. Step 3: Cross multiply
    459,865.50x = 1,005,267 × 1,005,267
  4. Step 4: Simplify right side
    459,865.50x = 1,010,561,741,289
  5. Step 5: Solve for x
    x = 1,010,561,741,289/459,865.50
  6. Step 6: Final answer
    x = 2,197,515.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.