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Finding the Third Proportional to 317,335.50 and 660,916.13

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Solution

The third proportional to 317,335.50 and 660,916.13 is: 1,376,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,335.50 : 660,916.13 = 660,916.13 : x
  2. Step 2: Convert to fraction form
    317,335.50/660,916.13 = 660,916.13/x
  3. Step 3: Cross multiply
    317,335.50x = 660,916.13 × 660,916.13
  4. Step 4: Simplify right side
    317,335.50x = 436,810,124,285.02
  5. Step 5: Solve for x
    x = 436,810,124,285.02/317,335.50
  6. Step 6: Final answer
    x = 1,376,493.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.