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Finding the Third Proportional to 334,932.75 and 438,043.50

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Solution

The third proportional to 334,932.75 and 438,043.50 is: 572,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,932.75 : 438,043.50 = 438,043.50 : x
  2. Step 2: Convert to fraction form
    334,932.75/438,043.50 = 438,043.50/x
  3. Step 3: Cross multiply
    334,932.75x = 438,043.50 × 438,043.50
  4. Step 4: Simplify right side
    334,932.75x = 191,882,107,892.25
  5. Step 5: Solve for x
    x = 191,882,107,892.25/334,932.75
  6. Step 6: Final answer
    x = 572,897.42

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.