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Finding the Third Proportional to 369,653.25 and 752,705.25

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Solution

The third proportional to 369,653.25 and 752,705.25 is: 1,532,693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,653.25 : 752,705.25 = 752,705.25 : x
  2. Step 2: Convert to fraction form
    369,653.25/752,705.25 = 752,705.25/x
  3. Step 3: Cross multiply
    369,653.25x = 752,705.25 × 752,705.25
  4. Step 4: Simplify right side
    369,653.25x = 566,565,193,377.56
  5. Step 5: Solve for x
    x = 566,565,193,377.56/369,653.25
  6. Step 6: Final answer
    x = 1,532,693.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.