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Finding the Third Proportional to 283,444 and 616,707

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Solution

The third proportional to 283,444 and 616,707 is: 1,341,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,444 : 616,707 = 616,707 : x
  2. Step 2: Convert to fraction form
    283,444/616,707 = 616,707/x
  3. Step 3: Cross multiply
    283,444x = 616,707 × 616,707
  4. Step 4: Simplify right side
    283,444x = 380,327,523,849
  5. Step 5: Solve for x
    x = 380,327,523,849/283,444
  6. Step 6: Final answer
    x = 1,341,808.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.