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Finding the Third Proportional to 767,250 and 1,161,538

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Solution

The third proportional to 767,250 and 1,161,538 is: 1,758,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,250 : 1,161,538 = 1,161,538 : x
  2. Step 2: Convert to fraction form
    767,250/1,161,538 = 1,161,538/x
  3. Step 3: Cross multiply
    767,250x = 1,161,538 × 1,161,538
  4. Step 4: Simplify right side
    767,250x = 1,349,170,525,444
  5. Step 5: Solve for x
    x = 1,349,170,525,444/767,250
  6. Step 6: Final answer
    x = 1,758,449.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.