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Finding the Third Proportional to 425,094.75 and 898,175.25

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Solution

The third proportional to 425,094.75 and 898,175.25 is: 1,897,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,094.75 : 898,175.25 = 898,175.25 : x
  2. Step 2: Convert to fraction form
    425,094.75/898,175.25 = 898,175.25/x
  3. Step 3: Cross multiply
    425,094.75x = 898,175.25 × 898,175.25
  4. Step 4: Simplify right side
    425,094.75x = 806,718,779,712.56
  5. Step 5: Solve for x
    x = 806,718,779,712.56/425,094.75
  6. Step 6: Final answer
    x = 1,897,738.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.