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Finding the Third Proportional to 673,816.50 and 1,017,727.88

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Solution

The third proportional to 673,816.50 and 1,017,727.88 is: 1,537,169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,816.50 : 1,017,727.88 = 1,017,727.88 : x
  2. Step 2: Convert to fraction form
    673,816.50/1,017,727.88 = 1,017,727.88/x
  3. Step 3: Cross multiply
    673,816.50x = 1,017,727.88 × 1,017,727.88
  4. Step 4: Simplify right side
    673,816.50x = 1,035,770,027,552.02
  5. Step 5: Solve for x
    x = 1,035,770,027,552.02/673,816.50
  6. Step 6: Final answer
    x = 1,537,169.29

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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.