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Finding the Third Proportional to 374,068.13 and 810,739.13

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Solution

The third proportional to 374,068.13 and 810,739.13 is: 1,757,161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,068.13 : 810,739.13 = 810,739.13 : x
  2. Step 2: Convert to fraction form
    374,068.13/810,739.13 = 810,739.13/x
  3. Step 3: Cross multiply
    374,068.13x = 810,739.13 × 810,739.13
  4. Step 4: Simplify right side
    374,068.13x = 657,297,928,805.77
  5. Step 5: Solve for x
    x = 657,297,928,805.77/374,068.13
  6. Step 6: Final answer
    x = 1,757,161.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.