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Finding the Third Proportional to 284,259 and 612,582

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Solution

The third proportional to 284,259 and 612,582 is: 1,320,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,259 : 612,582 = 612,582 : x
  2. Step 2: Convert to fraction form
    284,259/612,582 = 612,582/x
  3. Step 3: Cross multiply
    284,259x = 612,582 × 612,582
  4. Step 4: Simplify right side
    284,259x = 375,256,706,724
  5. Step 5: Solve for x
    x = 375,256,706,724/284,259
  6. Step 6: Final answer
    x = 1,320,122.52

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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.