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Finding the Third Proportional to 233,747 and 362,649

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Solution

The third proportional to 233,747 and 362,649 is: 562,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,747 : 362,649 = 362,649 : x
  2. Step 2: Convert to fraction form
    233,747/362,649 = 362,649/x
  3. Step 3: Cross multiply
    233,747x = 362,649 × 362,649
  4. Step 4: Simplify right side
    233,747x = 131,514,297,201
  5. Step 5: Solve for x
    x = 131,514,297,201/233,747
  6. Step 6: Final answer
    x = 562,635.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.