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Finding the Third Proportional to 213,246 and 493,668

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Solution

The third proportional to 213,246 and 493,668 is: 1,142,849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,246 : 493,668 = 493,668 : x
  2. Step 2: Convert to fraction form
    213,246/493,668 = 493,668/x
  3. Step 3: Cross multiply
    213,246x = 493,668 × 493,668
  4. Step 4: Simplify right side
    213,246x = 243,708,094,224
  5. Step 5: Solve for x
    x = 243,708,094,224/213,246
  6. Step 6: Final answer
    x = 1,142,849.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.