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Finding the Third Proportional to 421,301.25 and 901,651.50

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Solution

The third proportional to 421,301.25 and 901,651.50 is: 1,929,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,301.25 : 901,651.50 = 901,651.50 : x
  2. Step 2: Convert to fraction form
    421,301.25/901,651.50 = 901,651.50/x
  3. Step 3: Cross multiply
    421,301.25x = 901,651.50 × 901,651.50
  4. Step 4: Simplify right side
    421,301.25x = 812,975,427,452.25
  5. Step 5: Solve for x
    x = 812,975,427,452.25/421,301.25
  6. Step 6: Final answer
    x = 1,929,677.23

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Why These Related Problems?

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