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Finding the Third Proportional to 536,501.81 and 810,221.06

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Solution

The third proportional to 536,501.81 and 810,221.06 is: 1,223,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,501.81 : 810,221.06 = 810,221.06 : x
  2. Step 2: Convert to fraction form
    536,501.81/810,221.06 = 810,221.06/x
  3. Step 3: Cross multiply
    536,501.81x = 810,221.06 × 810,221.06
  4. Step 4: Simplify right side
    536,501.81x = 656,458,170,118.63
  5. Step 5: Solve for x
    x = 656,458,170,118.63/536,501.81
  6. Step 6: Final answer
    x = 1,223,589.85

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Why These Related Problems?

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