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Finding the Third Proportional to 368,016.75 and 749,567.25

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Solution

The third proportional to 368,016.75 and 749,567.25 is: 1,526,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,016.75 : 749,567.25 = 749,567.25 : x
  2. Step 2: Convert to fraction form
    368,016.75/749,567.25 = 749,567.25/x
  3. Step 3: Cross multiply
    368,016.75x = 749,567.25 × 749,567.25
  4. Step 4: Simplify right side
    368,016.75x = 561,851,062,272.56
  5. Step 5: Solve for x
    x = 561,851,062,272.56/368,016.75
  6. Step 6: Final answer
    x = 1,526,699.70

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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.