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Finding the Third Proportional to 288,238 and 460,462

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Solution

The third proportional to 288,238 and 460,462 is: 735,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,238 : 460,462 = 460,462 : x
  2. Step 2: Convert to fraction form
    288,238/460,462 = 460,462/x
  3. Step 3: Cross multiply
    288,238x = 460,462 × 460,462
  4. Step 4: Simplify right side
    288,238x = 212,025,253,444
  5. Step 5: Solve for x
    x = 212,025,253,444/288,238
  6. Step 6: Final answer
    x = 735,590.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.