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Finding the Third Proportional to 423,930.75 and 909,279.75

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Solution

The third proportional to 423,930.75 and 909,279.75 is: 1,950,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,930.75 : 909,279.75 = 909,279.75 : x
  2. Step 2: Convert to fraction form
    423,930.75/909,279.75 = 909,279.75/x
  3. Step 3: Cross multiply
    423,930.75x = 909,279.75 × 909,279.75
  4. Step 4: Simplify right side
    423,930.75x = 826,789,663,760.06
  5. Step 5: Solve for x
    x = 826,789,663,760.06/423,930.75
  6. Step 6: Final answer
    x = 1,950,294.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.