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Finding the Third Proportional to 206,578 and 437,959

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Solution

The third proportional to 206,578 and 437,959 is: 928,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,578 : 437,959 = 437,959 : x
  2. Step 2: Convert to fraction form
    206,578/437,959 = 437,959/x
  3. Step 3: Cross multiply
    206,578x = 437,959 × 437,959
  4. Step 4: Simplify right side
    206,578x = 191,808,085,681
  5. Step 5: Solve for x
    x = 191,808,085,681/206,578
  6. Step 6: Final answer
    x = 928,502.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.