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Finding the Third Proportional to 310,149 and 420,924.09

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Solution

The third proportional to 310,149 and 420,924.09 is: 571,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,149 : 420,924.09 = 420,924.09 : x
  2. Step 2: Convert to fraction form
    310,149/420,924.09 = 420,924.09/x
  3. Step 3: Cross multiply
    310,149x = 420,924.09 × 420,924.09
  4. Step 4: Simplify right side
    310,149x = 177,177,092,699.26
  5. Step 5: Solve for x
    x = 177,177,092,699.26/310,149
  6. Step 6: Final answer
    x = 571,264.43

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.