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Finding the Third Proportional to 649,258.88 and 970,254.49

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Solution

The third proportional to 649,258.88 and 970,254.49 is: 1,449,951.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,258.88 : 970,254.49 = 970,254.49 : x
  2. Step 2: Convert to fraction form
    649,258.88/970,254.49 = 970,254.49/x
  3. Step 3: Cross multiply
    649,258.88x = 970,254.49 × 970,254.49
  4. Step 4: Simplify right side
    649,258.88x = 941,393,779,610.02
  5. Step 5: Solve for x
    x = 941,393,779,610.02/649,258.88
  6. Step 6: Final answer
    x = 1,449,951.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.