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Finding the Third Proportional to 317,925 and 673,758

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Solution

The third proportional to 317,925 and 673,758 is: 1,427,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,925 : 673,758 = 673,758 : x
  2. Step 2: Convert to fraction form
    317,925/673,758 = 673,758/x
  3. Step 3: Cross multiply
    317,925x = 673,758 × 673,758
  4. Step 4: Simplify right side
    317,925x = 453,949,842,564
  5. Step 5: Solve for x
    x = 453,949,842,564/317,925
  6. Step 6: Final answer
    x = 1,427,851.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.