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Finding the Third Proportional to 393,703.03 and 813,650.06

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Solution

The third proportional to 393,703.03 and 813,650.06 is: 1,681,537.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,703.03 : 813,650.06 = 813,650.06 : x
  2. Step 2: Convert to fraction form
    393,703.03/813,650.06 = 813,650.06/x
  3. Step 3: Cross multiply
    393,703.03x = 813,650.06 × 813,650.06
  4. Step 4: Simplify right side
    393,703.03x = 662,026,424,206.25
  5. Step 5: Solve for x
    x = 662,026,424,206.25/393,703.03
  6. Step 6: Final answer
    x = 1,681,537.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.