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Finding the Third Proportional to 317,854 and 673,616

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Solution

The third proportional to 317,854 and 673,616 is: 1,427,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,854 : 673,616 = 673,616 : x
  2. Step 2: Convert to fraction form
    317,854/673,616 = 673,616/x
  3. Step 3: Cross multiply
    317,854x = 673,616 × 673,616
  4. Step 4: Simplify right side
    317,854x = 453,758,515,456
  5. Step 5: Solve for x
    x = 453,758,515,456/317,854
  6. Step 6: Final answer
    x = 1,427,569.00

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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.