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Finding the Third Proportional to 478,894.50 and 1,030,437.75

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Solution

The third proportional to 478,894.50 and 1,030,437.75 is: 2,217,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,894.50 : 1,030,437.75 = 1,030,437.75 : x
  2. Step 2: Convert to fraction form
    478,894.50/1,030,437.75 = 1,030,437.75/x
  3. Step 3: Cross multiply
    478,894.50x = 1,030,437.75 × 1,030,437.75
  4. Step 4: Simplify right side
    478,894.50x = 1,061,801,956,625.06
  5. Step 5: Solve for x
    x = 1,061,801,956,625.06/478,894.50
  6. Step 6: Final answer
    x = 2,217,193.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.