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Finding the Third Proportional to 431,193.75 and 907,073.25

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Solution

The third proportional to 431,193.75 and 907,073.25 is: 1,908,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,193.75 : 907,073.25 = 907,073.25 : x
  2. Step 2: Convert to fraction form
    431,193.75/907,073.25 = 907,073.25/x
  3. Step 3: Cross multiply
    431,193.75x = 907,073.25 × 907,073.25
  4. Step 4: Simplify right side
    431,193.75x = 822,781,880,865.56
  5. Step 5: Solve for x
    x = 822,781,880,865.56/431,193.75
  6. Step 6: Final answer
    x = 1,908,148.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.