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Finding the Third Proportional to 423,375 and 913,223

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Solution

The third proportional to 423,375 and 913,223 is: 1,969,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,375 : 913,223 = 913,223 : x
  2. Step 2: Convert to fraction form
    423,375/913,223 = 913,223/x
  3. Step 3: Cross multiply
    423,375x = 913,223 × 913,223
  4. Step 4: Simplify right side
    423,375x = 833,976,247,729
  5. Step 5: Solve for x
    x = 833,976,247,729/423,375
  6. Step 6: Final answer
    x = 1,969,828.75

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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.