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Finding the Third Proportional to 250,158 and 510,504

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Solution

The third proportional to 250,158 and 510,504 is: 1,041,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,158 : 510,504 = 510,504 : x
  2. Step 2: Convert to fraction form
    250,158/510,504 = 510,504/x
  3. Step 3: Cross multiply
    250,158x = 510,504 × 510,504
  4. Step 4: Simplify right side
    250,158x = 260,614,334,016
  5. Step 5: Solve for x
    x = 260,614,334,016/250,158
  6. Step 6: Final answer
    x = 1,041,798.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.