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Finding the Third Proportional to 288,205 and 460,414

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Solution

The third proportional to 288,205 and 460,414 is: 735,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,205 : 460,414 = 460,414 : x
  2. Step 2: Convert to fraction form
    288,205/460,414 = 460,414/x
  3. Step 3: Cross multiply
    288,205x = 460,414 × 460,414
  4. Step 4: Simplify right side
    288,205x = 211,981,051,396
  5. Step 5: Solve for x
    x = 211,981,051,396/288,205
  6. Step 6: Final answer
    x = 735,521.77

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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.