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Finding the Third Proportional to 431,190.50 and 907,065

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Solution

The third proportional to 431,190.50 and 907,065 is: 1,908,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,190.50 : 907,065 = 907,065 : x
  2. Step 2: Convert to fraction form
    431,190.50/907,065 = 907,065/x
  3. Step 3: Cross multiply
    431,190.50x = 907,065 × 907,065
  4. Step 4: Simplify right side
    431,190.50x = 822,766,914,225
  5. Step 5: Solve for x
    x = 822,766,914,225/431,190.50
  6. Step 6: Final answer
    x = 1,908,128.57

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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.