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Finding the Third Proportional to 268,366 and 574,316

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Solution

The third proportional to 268,366 and 574,316 is: 1,229,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,366 : 574,316 = 574,316 : x
  2. Step 2: Convert to fraction form
    268,366/574,316 = 574,316/x
  3. Step 3: Cross multiply
    268,366x = 574,316 × 574,316
  4. Step 4: Simplify right side
    268,366x = 329,838,867,856
  5. Step 5: Solve for x
    x = 329,838,867,856/268,366
  6. Step 6: Final answer
    x = 1,229,063.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.