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Finding the Third Proportional to 265,248 and 516,960

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Solution

The third proportional to 265,248 and 516,960 is: 1,007,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,248 : 516,960 = 516,960 : x
  2. Step 2: Convert to fraction form
    265,248/516,960 = 516,960/x
  3. Step 3: Cross multiply
    265,248x = 516,960 × 516,960
  4. Step 4: Simplify right side
    265,248x = 267,247,641,600
  5. Step 5: Solve for x
    x = 267,247,641,600/265,248
  6. Step 6: Final answer
    x = 1,007,538.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.