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Finding the Third Proportional to 334,328 and 488,680

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Solution

The third proportional to 334,328 and 488,680 is: 714,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,328 : 488,680 = 488,680 : x
  2. Step 2: Convert to fraction form
    334,328/488,680 = 488,680/x
  3. Step 3: Cross multiply
    334,328x = 488,680 × 488,680
  4. Step 4: Simplify right side
    334,328x = 238,808,142,400
  5. Step 5: Solve for x
    x = 238,808,142,400/334,328
  6. Step 6: Final answer
    x = 714,292.98

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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.