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Finding the Third Proportional to 237,709.05 and 528,566.77

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Solution

The third proportional to 237,709.05 and 528,566.77 is: 1,175,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,709.05 : 528,566.77 = 528,566.77 : x
  2. Step 2: Convert to fraction form
    237,709.05/528,566.77 = 528,566.77/x
  3. Step 3: Cross multiply
    237,709.05x = 528,566.77 × 528,566.77
  4. Step 4: Simplify right side
    237,709.05x = 279,382,825,723.27
  5. Step 5: Solve for x
    x = 279,382,825,723.27/237,709.05
  6. Step 6: Final answer
    x = 1,175,314.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.