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Finding the Third Proportional to 404,254.13 and 606,330.56

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Solution

The third proportional to 404,254.13 and 606,330.56 is: 909,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,254.13 : 606,330.56 = 606,330.56 : x
  2. Step 2: Convert to fraction form
    404,254.13/606,330.56 = 606,330.56/x
  3. Step 3: Cross multiply
    404,254.13x = 606,330.56 × 606,330.56
  4. Step 4: Simplify right side
    404,254.13x = 367,636,751,021.57
  5. Step 5: Solve for x
    x = 367,636,751,021.57/404,254.13
  6. Step 6: Final answer
    x = 909,419.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.