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Finding the Third Proportional to 333,622.13 and 733,654.13

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Solution

The third proportional to 333,622.13 and 733,654.13 is: 1,613,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,622.13 : 733,654.13 = 733,654.13 : x
  2. Step 2: Convert to fraction form
    333,622.13/733,654.13 = 733,654.13/x
  3. Step 3: Cross multiply
    333,622.13x = 733,654.13 × 733,654.13
  4. Step 4: Simplify right side
    333,622.13x = 538,248,375,129.52
  5. Step 5: Solve for x
    x = 538,248,375,129.52/333,622.13
  6. Step 6: Final answer
    x = 1,613,347.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.