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Finding the Third Proportional to 250,130 and 516,908

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Solution

The third proportional to 250,130 and 516,908 is: 1,068,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,130 : 516,908 = 516,908 : x
  2. Step 2: Convert to fraction form
    250,130/516,908 = 516,908/x
  3. Step 3: Cross multiply
    250,130x = 516,908 × 516,908
  4. Step 4: Simplify right side
    250,130x = 267,193,880,464
  5. Step 5: Solve for x
    x = 267,193,880,464/250,130
  6. Step 6: Final answer
    x = 1,068,220.05

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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.