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Finding the Third Proportional to 524,016.75 and 788,649

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Solution

The third proportional to 524,016.75 and 788,649 is: 1,186,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,016.75 : 788,649 = 788,649 : x
  2. Step 2: Convert to fraction form
    524,016.75/788,649 = 788,649/x
  3. Step 3: Cross multiply
    524,016.75x = 788,649 × 788,649
  4. Step 4: Simplify right side
    524,016.75x = 621,967,245,201
  5. Step 5: Solve for x
    x = 621,967,245,201/524,016.75
  6. Step 6: Final answer
    x = 1,186,922.45

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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.