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Finding the Third Proportional to 250,310 and 518,363

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Solution

The third proportional to 250,310 and 518,363 is: 1,073,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,310 : 518,363 = 518,363 : x
  2. Step 2: Convert to fraction form
    250,310/518,363 = 518,363/x
  3. Step 3: Cross multiply
    250,310x = 518,363 × 518,363
  4. Step 4: Simplify right side
    250,310x = 268,700,199,769
  5. Step 5: Solve for x
    x = 268,700,199,769/250,310
  6. Step 6: Final answer
    x = 1,073,469.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.