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Finding the Third Proportional to 524,613 and 810,166.50

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Solution

The third proportional to 524,613 and 810,166.50 is: 1,251,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,613 : 810,166.50 = 810,166.50 : x
  2. Step 2: Convert to fraction form
    524,613/810,166.50 = 810,166.50/x
  3. Step 3: Cross multiply
    524,613x = 810,166.50 × 810,166.50
  4. Step 4: Simplify right side
    524,613x = 656,369,757,722.25
  5. Step 5: Solve for x
    x = 656,369,757,722.25/524,613
  6. Step 6: Final answer
    x = 1,251,150.39

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Why These Related Problems?

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