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Finding the Third Proportional to 264,027 and 358,731

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Solution

The third proportional to 264,027 and 358,731 is: 487,404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,027 : 358,731 = 358,731 : x
  2. Step 2: Convert to fraction form
    264,027/358,731 = 358,731/x
  3. Step 3: Cross multiply
    264,027x = 358,731 × 358,731
  4. Step 4: Simplify right side
    264,027x = 128,687,930,361
  5. Step 5: Solve for x
    x = 128,687,930,361/264,027
  6. Step 6: Final answer
    x = 487,404.43

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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.