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Finding the Third Proportional to 431,191.50 and 907,063.50

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Solution

The third proportional to 431,191.50 and 907,063.50 is: 1,908,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,191.50 : 907,063.50 = 907,063.50 : x
  2. Step 2: Convert to fraction form
    431,191.50/907,063.50 = 907,063.50/x
  3. Step 3: Cross multiply
    431,191.50x = 907,063.50 × 907,063.50
  4. Step 4: Simplify right side
    431,191.50x = 822,764,193,032.25
  5. Step 5: Solve for x
    x = 822,764,193,032.25/431,191.50
  6. Step 6: Final answer
    x = 1,908,117.84

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