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Finding the Third Proportional to 353,636 and 723,613

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Solution

The third proportional to 353,636 and 723,613 is: 1,480,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,636 : 723,613 = 723,613 : x
  2. Step 2: Convert to fraction form
    353,636/723,613 = 723,613/x
  3. Step 3: Cross multiply
    353,636x = 723,613 × 723,613
  4. Step 4: Simplify right side
    353,636x = 523,615,773,769
  5. Step 5: Solve for x
    x = 523,615,773,769/353,636
  6. Step 6: Final answer
    x = 1,480,663.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.