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Finding the Third Proportional to 334,323 and 488,682

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Solution

The third proportional to 334,323 and 488,682 is: 714,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,323 : 488,682 = 488,682 : x
  2. Step 2: Convert to fraction form
    334,323/488,682 = 488,682/x
  3. Step 3: Cross multiply
    334,323x = 488,682 × 488,682
  4. Step 4: Simplify right side
    334,323x = 238,810,097,124
  5. Step 5: Solve for x
    x = 238,810,097,124/334,323
  6. Step 6: Final answer
    x = 714,309.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.