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Finding the Third Proportional to 354,223.13 and 764,417.25

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Solution

The third proportional to 354,223.13 and 764,417.25 is: 1,649,620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,223.13 : 764,417.25 = 764,417.25 : x
  2. Step 2: Convert to fraction form
    354,223.13/764,417.25 = 764,417.25/x
  3. Step 3: Cross multiply
    354,223.13x = 764,417.25 × 764,417.25
  4. Step 4: Simplify right side
    354,223.13x = 584,333,732,097.56
  5. Step 5: Solve for x
    x = 584,333,732,097.56/354,223.13
  6. Step 6: Final answer
    x = 1,649,620.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.