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Finding the Third Proportional to 201,948 and 437,329

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Solution

The third proportional to 201,948 and 437,329 is: 947,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,948 : 437,329 = 437,329 : x
  2. Step 2: Convert to fraction form
    201,948/437,329 = 437,329/x
  3. Step 3: Cross multiply
    201,948x = 437,329 × 437,329
  4. Step 4: Simplify right side
    201,948x = 191,256,654,241
  5. Step 5: Solve for x
    x = 191,256,654,241/201,948
  6. Step 6: Final answer
    x = 947,058.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.