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Finding the Third Proportional to 287,229 and 613,554

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Solution

The third proportional to 287,229 and 613,554 is: 1,310,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,229 : 613,554 = 613,554 : x
  2. Step 2: Convert to fraction form
    287,229/613,554 = 613,554/x
  3. Step 3: Cross multiply
    287,229x = 613,554 × 613,554
  4. Step 4: Simplify right side
    287,229x = 376,448,510,916
  5. Step 5: Solve for x
    x = 376,448,510,916/287,229
  6. Step 6: Final answer
    x = 1,310,621.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.