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Finding the Third Proportional to 284,257 and 619,957

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Solution

The third proportional to 284,257 and 619,957 is: 1,352,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,257 : 619,957 = 619,957 : x
  2. Step 2: Convert to fraction form
    284,257/619,957 = 619,957/x
  3. Step 3: Cross multiply
    284,257x = 619,957 × 619,957
  4. Step 4: Simplify right side
    284,257x = 384,346,681,849
  5. Step 5: Solve for x
    x = 384,346,681,849/284,257
  6. Step 6: Final answer
    x = 1,352,109.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.