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Finding the Third Proportional to 675,145.13 and 955,297.55

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Solution

The third proportional to 675,145.13 and 955,297.55 is: 1,351,699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,145.13 : 955,297.55 = 955,297.55 : x
  2. Step 2: Convert to fraction form
    675,145.13/955,297.55 = 955,297.55/x
  3. Step 3: Cross multiply
    675,145.13x = 955,297.55 × 955,297.55
  4. Step 4: Simplify right side
    675,145.13x = 912,593,403,065.39
  5. Step 5: Solve for x
    x = 912,593,403,065.39/675,145.13
  6. Step 6: Final answer
    x = 1,351,699.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.