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Finding the Third Proportional to 673,728.38 and 1,017,612.75

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Solution

The third proportional to 673,728.38 and 1,017,612.75 is: 1,537,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,728.38 : 1,017,612.75 = 1,017,612.75 : x
  2. Step 2: Convert to fraction form
    673,728.38/1,017,612.75 = 1,017,612.75/x
  3. Step 3: Cross multiply
    673,728.38x = 1,017,612.75 × 1,017,612.75
  4. Step 4: Simplify right side
    673,728.38x = 1,035,535,708,962.56
  5. Step 5: Solve for x
    x = 1,035,535,708,962.56/673,728.38
  6. Step 6: Final answer
    x = 1,537,022.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.