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Finding the Third Proportional to 423,375.75 and 913,225.50

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Solution

The third proportional to 423,375.75 and 913,225.50 is: 1,969,836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,375.75 : 913,225.50 = 913,225.50 : x
  2. Step 2: Convert to fraction form
    423,375.75/913,225.50 = 913,225.50/x
  3. Step 3: Cross multiply
    423,375.75x = 913,225.50 × 913,225.50
  4. Step 4: Simplify right side
    423,375.75x = 833,980,813,850.25
  5. Step 5: Solve for x
    x = 833,980,813,850.25/423,375.75
  6. Step 6: Final answer
    x = 1,969,836.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.