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Finding the Third Proportional to 284,940 and 670,415

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Solution

The third proportional to 284,940 and 670,415 is: 1,577,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,940 : 670,415 = 670,415 : x
  2. Step 2: Convert to fraction form
    284,940/670,415 = 670,415/x
  3. Step 3: Cross multiply
    284,940x = 670,415 × 670,415
  4. Step 4: Simplify right side
    284,940x = 449,456,272,225
  5. Step 5: Solve for x
    x = 449,456,272,225/284,940
  6. Step 6: Final answer
    x = 1,577,371.63

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.