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Finding the Third Proportional to 336,228 and 468,315

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Solution

The third proportional to 336,228 and 468,315 is: 652,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,228 : 468,315 = 468,315 : x
  2. Step 2: Convert to fraction form
    336,228/468,315 = 468,315/x
  3. Step 3: Cross multiply
    336,228x = 468,315 × 468,315
  4. Step 4: Simplify right side
    336,228x = 219,318,939,225
  5. Step 5: Solve for x
    x = 219,318,939,225/336,228
  6. Step 6: Final answer
    x = 652,292.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.