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Finding the Third Proportional to 284,721.75 and 619,263

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Solution

The third proportional to 284,721.75 and 619,263 is: 1,346,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,721.75 : 619,263 = 619,263 : x
  2. Step 2: Convert to fraction form
    284,721.75/619,263 = 619,263/x
  3. Step 3: Cross multiply
    284,721.75x = 619,263 × 619,263
  4. Step 4: Simplify right side
    284,721.75x = 383,486,663,169
  5. Step 5: Solve for x
    x = 383,486,663,169/284,721.75
  6. Step 6: Final answer
    x = 1,346,882.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.