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Finding the Third Proportional to 250,609.63 and 584,776

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Solution

The third proportional to 250,609.63 and 584,776 is: 1,364,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,609.63 : 584,776 = 584,776 : x
  2. Step 2: Convert to fraction form
    250,609.63/584,776 = 584,776/x
  3. Step 3: Cross multiply
    250,609.63x = 584,776 × 584,776
  4. Step 4: Simplify right side
    250,609.63x = 341,962,970,176
  5. Step 5: Solve for x
    x = 341,962,970,176/250,609.63
  6. Step 6: Final answer
    x = 1,364,524.49

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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.