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Finding the Third Proportional to 758,716.50 and 1,625,649

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Solution

The third proportional to 758,716.50 and 1,625,649 is: 3,483,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,716.50 : 1,625,649 = 1,625,649 : x
  2. Step 2: Convert to fraction form
    758,716.50/1,625,649 = 1,625,649/x
  3. Step 3: Cross multiply
    758,716.50x = 1,625,649 × 1,625,649
  4. Step 4: Simplify right side
    758,716.50x = 2,642,734,671,201
  5. Step 5: Solve for x
    x = 2,642,734,671,201/758,716.50
  6. Step 6: Final answer
    x = 3,483,164.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.