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Finding the Third Proportional to 239,572.69 and 528,965.44

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Solution

The third proportional to 239,572.69 and 528,965.44 is: 1,167,931.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,572.69 : 528,965.44 = 528,965.44 : x
  2. Step 2: Convert to fraction form
    239,572.69/528,965.44 = 528,965.44/x
  3. Step 3: Cross multiply
    239,572.69x = 528,965.44 × 528,965.44
  4. Step 4: Simplify right side
    239,572.69x = 279,804,434,069.57
  5. Step 5: Solve for x
    x = 279,804,434,069.57/239,572.69
  6. Step 6: Final answer
    x = 1,167,931.27

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.