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Finding the Third Proportional to 334,712 and 468,164

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Solution

The third proportional to 334,712 and 468,164 is: 654,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,712 : 468,164 = 468,164 : x
  2. Step 2: Convert to fraction form
    334,712/468,164 = 468,164/x
  3. Step 3: Cross multiply
    334,712x = 468,164 × 468,164
  4. Step 4: Simplify right side
    334,712x = 219,177,530,896
  5. Step 5: Solve for x
    x = 219,177,530,896/334,712
  6. Step 6: Final answer
    x = 654,824.24

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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.