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Finding the Third Proportional to 437,749.88 and 958,540.50

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Solution

The third proportional to 437,749.88 and 958,540.50 is: 2,098,915.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,749.88 : 958,540.50 = 958,540.50 : x
  2. Step 2: Convert to fraction form
    437,749.88/958,540.50 = 958,540.50/x
  3. Step 3: Cross multiply
    437,749.88x = 958,540.50 × 958,540.50
  4. Step 4: Simplify right side
    437,749.88x = 918,799,890,140.25
  5. Step 5: Solve for x
    x = 918,799,890,140.25/437,749.88
  6. Step 6: Final answer
    x = 2,098,915.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.