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Finding the Third Proportional to 283,842 and 439,488

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Solution

The third proportional to 283,842 and 439,488 is: 680,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,842 : 439,488 = 439,488 : x
  2. Step 2: Convert to fraction form
    283,842/439,488 = 439,488/x
  3. Step 3: Cross multiply
    283,842x = 439,488 × 439,488
  4. Step 4: Simplify right side
    283,842x = 193,149,702,144
  5. Step 5: Solve for x
    x = 193,149,702,144/283,842
  6. Step 6: Final answer
    x = 680,483.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.