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Finding the Third Proportional to 231,903 and 492,237

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Solution

The third proportional to 231,903 and 492,237 is: 1,044,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,903 : 492,237 = 492,237 : x
  2. Step 2: Convert to fraction form
    231,903/492,237 = 492,237/x
  3. Step 3: Cross multiply
    231,903x = 492,237 × 492,237
  4. Step 4: Simplify right side
    231,903x = 242,297,264,169
  5. Step 5: Solve for x
    x = 242,297,264,169/231,903
  6. Step 6: Final answer
    x = 1,044,821.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.