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Finding the Third Proportional to 283,935.38 and 436,417.88

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Solution

The third proportional to 283,935.38 and 436,417.88 is: 670,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,935.38 : 436,417.88 = 436,417.88 : x
  2. Step 2: Convert to fraction form
    283,935.38/436,417.88 = 436,417.88/x
  3. Step 3: Cross multiply
    283,935.38x = 436,417.88 × 436,417.88
  4. Step 4: Simplify right side
    283,935.38x = 190,460,561,619.52
  5. Step 5: Solve for x
    x = 190,460,561,619.52/283,935.38
  6. Step 6: Final answer
    x = 670,788.42

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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.