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Finding the Third Proportional to 340,721.44 and 525,297.66

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Solution

The third proportional to 340,721.44 and 525,297.66 is: 809,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,721.44 : 525,297.66 = 525,297.66 : x
  2. Step 2: Convert to fraction form
    340,721.44/525,297.66 = 525,297.66/x
  3. Step 3: Cross multiply
    340,721.44x = 525,297.66 × 525,297.66
  4. Step 4: Simplify right side
    340,721.44x = 275,937,627,661.74
  5. Step 5: Solve for x
    x = 275,937,627,661.74/340,721.44
  6. Step 6: Final answer
    x = 809,862.83

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