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Finding the Third Proportional to 262,032 and 615,936

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Solution

The third proportional to 262,032 and 615,936 is: 1,447,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,032 : 615,936 = 615,936 : x
  2. Step 2: Convert to fraction form
    262,032/615,936 = 615,936/x
  3. Step 3: Cross multiply
    262,032x = 615,936 × 615,936
  4. Step 4: Simplify right side
    262,032x = 379,377,156,096
  5. Step 5: Solve for x
    x = 379,377,156,096/262,032
  6. Step 6: Final answer
    x = 1,447,827.58

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.