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Finding the Third Proportional to 264,413 and 397,205

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Solution

The third proportional to 264,413 and 397,205 is: 596,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,413 : 397,205 = 397,205 : x
  2. Step 2: Convert to fraction form
    264,413/397,205 = 397,205/x
  3. Step 3: Cross multiply
    264,413x = 397,205 × 397,205
  4. Step 4: Simplify right side
    264,413x = 157,771,812,025
  5. Step 5: Solve for x
    x = 157,771,812,025/264,413
  6. Step 6: Final answer
    x = 596,687.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.