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Finding the Third Proportional to 363,567 and 776,613

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Solution

The third proportional to 363,567 and 776,613 is: 1,658,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,567 : 776,613 = 776,613 : x
  2. Step 2: Convert to fraction form
    363,567/776,613 = 776,613/x
  3. Step 3: Cross multiply
    363,567x = 776,613 × 776,613
  4. Step 4: Simplify right side
    363,567x = 603,127,751,769
  5. Step 5: Solve for x
    x = 603,127,751,769/363,567
  6. Step 6: Final answer
    x = 1,658,917.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.