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Finding the Third Proportional to 332,726 and 465,657

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Solution

The third proportional to 332,726 and 465,657 is: 651,696.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,726 : 465,657 = 465,657 : x
  2. Step 2: Convert to fraction form
    332,726/465,657 = 465,657/x
  3. Step 3: Cross multiply
    332,726x = 465,657 × 465,657
  4. Step 4: Simplify right side
    332,726x = 216,836,441,649
  5. Step 5: Solve for x
    x = 216,836,441,649/332,726
  6. Step 6: Final answer
    x = 651,696.72

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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.