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Finding the Third Proportional to 263,946 and 358,602

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Solution

The third proportional to 263,946 and 358,602 is: 487,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,946 : 358,602 = 358,602 : x
  2. Step 2: Convert to fraction form
    263,946/358,602 = 358,602/x
  3. Step 3: Cross multiply
    263,946x = 358,602 × 358,602
  4. Step 4: Simplify right side
    263,946x = 128,595,394,404
  5. Step 5: Solve for x
    x = 128,595,394,404/263,946
  6. Step 6: Final answer
    x = 487,203.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.