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Finding the Third Proportional to 315,366 and 700,716

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Solution

The third proportional to 315,366 and 700,716 is: 1,556,930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,366 : 700,716 = 700,716 : x
  2. Step 2: Convert to fraction form
    315,366/700,716 = 700,716/x
  3. Step 3: Cross multiply
    315,366x = 700,716 × 700,716
  4. Step 4: Simplify right side
    315,366x = 491,002,912,656
  5. Step 5: Solve for x
    x = 491,002,912,656/315,366
  6. Step 6: Final answer
    x = 1,556,930.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.