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Finding the Third Proportional to 237,770 and 528,028

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Solution

The third proportional to 237,770 and 528,028 is: 1,172,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,770 : 528,028 = 528,028 : x
  2. Step 2: Convert to fraction form
    237,770/528,028 = 528,028/x
  3. Step 3: Cross multiply
    237,770x = 528,028 × 528,028
  4. Step 4: Simplify right side
    237,770x = 278,813,568,784
  5. Step 5: Solve for x
    x = 278,813,568,784/237,770
  6. Step 6: Final answer
    x = 1,172,618.79

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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.