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Finding the Third Proportional to 423,377.50 and 913,229

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Solution

The third proportional to 423,377.50 and 913,229 is: 1,969,843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,377.50 : 913,229 = 913,229 : x
  2. Step 2: Convert to fraction form
    423,377.50/913,229 = 913,229/x
  3. Step 3: Cross multiply
    423,377.50x = 913,229 × 913,229
  4. Step 4: Simplify right side
    423,377.50x = 833,987,206,441
  5. Step 5: Solve for x
    x = 833,987,206,441/423,377.50
  6. Step 6: Final answer
    x = 1,969,843.00

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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.