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Finding the Third Proportional to 303,007.50 and 637,422

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Solution

The third proportional to 303,007.50 and 637,422 is: 1,340,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,007.50 : 637,422 = 637,422 : x
  2. Step 2: Convert to fraction form
    303,007.50/637,422 = 637,422/x
  3. Step 3: Cross multiply
    303,007.50x = 637,422 × 637,422
  4. Step 4: Simplify right side
    303,007.50x = 406,306,806,084
  5. Step 5: Solve for x
    x = 406,306,806,084/303,007.50
  6. Step 6: Final answer
    x = 1,340,913.36

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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.