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Finding the Third Proportional to 316,867 and 704,578

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Solution

The third proportional to 316,867 and 704,578 is: 1,566,683.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,867 : 704,578 = 704,578 : x
  2. Step 2: Convert to fraction form
    316,867/704,578 = 704,578/x
  3. Step 3: Cross multiply
    316,867x = 704,578 × 704,578
  4. Step 4: Simplify right side
    316,867x = 496,430,158,084
  5. Step 5: Solve for x
    x = 496,430,158,084/316,867
  6. Step 6: Final answer
    x = 1,566,683.05

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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.