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Finding the Third Proportional to 749,578.50 and 1,151,444.25

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Solution

The third proportional to 749,578.50 and 1,151,444.25 is: 1,768,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,578.50 : 1,151,444.25 = 1,151,444.25 : x
  2. Step 2: Convert to fraction form
    749,578.50/1,151,444.25 = 1,151,444.25/x
  3. Step 3: Cross multiply
    749,578.50x = 1,151,444.25 × 1,151,444.25
  4. Step 4: Simplify right side
    749,578.50x = 1,325,823,860,858.06
  5. Step 5: Solve for x
    x = 1,325,823,860,858.06/749,578.50
  6. Step 6: Final answer
    x = 1,768,759.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.