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Finding the Third Proportional to 250,316.50 and 518,377

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Solution

The third proportional to 250,316.50 and 518,377 is: 1,073,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,316.50 : 518,377 = 518,377 : x
  2. Step 2: Convert to fraction form
    250,316.50/518,377 = 518,377/x
  3. Step 3: Cross multiply
    250,316.50x = 518,377 × 518,377
  4. Step 4: Simplify right side
    250,316.50x = 268,714,714,129
  5. Step 5: Solve for x
    x = 268,714,714,129/250,316.50
  6. Step 6: Final answer
    x = 1,073,499.81

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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.