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Finding the Third Proportional to 336,689.25 and 472,435.13

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Solution

The third proportional to 336,689.25 and 472,435.13 is: 662,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,689.25 : 472,435.13 = 472,435.13 : x
  2. Step 2: Convert to fraction form
    336,689.25/472,435.13 = 472,435.13/x
  3. Step 3: Cross multiply
    336,689.25x = 472,435.13 × 472,435.13
  4. Step 4: Simplify right side
    336,689.25x = 223,194,947,333.77
  5. Step 5: Solve for x
    x = 223,194,947,333.77/336,689.25
  6. Step 6: Final answer
    x = 662,910.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.