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Finding the Third Proportional to 436,306.50 and 909,974.25

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Solution

The third proportional to 436,306.50 and 909,974.25 is: 1,897,870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,306.50 : 909,974.25 = 909,974.25 : x
  2. Step 2: Convert to fraction form
    436,306.50/909,974.25 = 909,974.25/x
  3. Step 3: Cross multiply
    436,306.50x = 909,974.25 × 909,974.25
  4. Step 4: Simplify right side
    436,306.50x = 828,053,135,663.06
  5. Step 5: Solve for x
    x = 828,053,135,663.06/436,306.50
  6. Step 6: Final answer
    x = 1,897,870.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.