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Finding the Third Proportional to 250,613.50 and 584,786

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Solution

The third proportional to 250,613.50 and 584,786 is: 1,364,550.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,613.50 : 584,786 = 584,786 : x
  2. Step 2: Convert to fraction form
    250,613.50/584,786 = 584,786/x
  3. Step 3: Cross multiply
    250,613.50x = 584,786 × 584,786
  4. Step 4: Simplify right side
    250,613.50x = 341,974,665,796
  5. Step 5: Solve for x
    x = 341,974,665,796/250,613.50
  6. Step 6: Final answer
    x = 1,364,550.06

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.