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Finding the Third Proportional to 549,321.75 and 823,446

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Solution

The third proportional to 549,321.75 and 823,446 is: 1,234,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,321.75 : 823,446 = 823,446 : x
  2. Step 2: Convert to fraction form
    549,321.75/823,446 = 823,446/x
  3. Step 3: Cross multiply
    549,321.75x = 823,446 × 823,446
  4. Step 4: Simplify right side
    549,321.75x = 678,063,314,916
  5. Step 5: Solve for x
    x = 678,063,314,916/549,321.75
  6. Step 6: Final answer
    x = 1,234,364.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.