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Finding the Third Proportional to 725,566.50 and 1,537,566.75

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Solution

The third proportional to 725,566.50 and 1,537,566.75 is: 3,258,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,566.50 : 1,537,566.75 = 1,537,566.75 : x
  2. Step 2: Convert to fraction form
    725,566.50/1,537,566.75 = 1,537,566.75/x
  3. Step 3: Cross multiply
    725,566.50x = 1,537,566.75 × 1,537,566.75
  4. Step 4: Simplify right side
    725,566.50x = 2,364,111,510,705.56
  5. Step 5: Solve for x
    x = 2,364,111,510,705.56/725,566.50
  6. Step 6: Final answer
    x = 3,258,297.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.