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Finding the Third Proportional to 334,325 and 488,685

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Solution

The third proportional to 334,325 and 488,685 is: 714,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,325 : 488,685 = 488,685 : x
  2. Step 2: Convert to fraction form
    334,325/488,685 = 488,685/x
  3. Step 3: Cross multiply
    334,325x = 488,685 × 488,685
  4. Step 4: Simplify right side
    334,325x = 238,813,029,225
  5. Step 5: Solve for x
    x = 238,813,029,225/334,325
  6. Step 6: Final answer
    x = 714,314.00

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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.