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Finding the Third Proportional to 187,788.38 and 439,824.94

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Solution

The third proportional to 187,788.38 and 439,824.94 is: 1,030,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,788.38 : 439,824.94 = 439,824.94 : x
  2. Step 2: Convert to fraction form
    187,788.38/439,824.94 = 439,824.94/x
  3. Step 3: Cross multiply
    187,788.38x = 439,824.94 × 439,824.94
  4. Step 4: Simplify right side
    187,788.38x = 193,445,975,646.88
  5. Step 5: Solve for x
    x = 193,445,975,646.88/187,788.38
  6. Step 6: Final answer
    x = 1,030,127.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.