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Finding the Third Proportional to 334,230 and 517,783

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Solution

The third proportional to 334,230 and 517,783 is: 802,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,230 : 517,783 = 517,783 : x
  2. Step 2: Convert to fraction form
    334,230/517,783 = 517,783/x
  3. Step 3: Cross multiply
    334,230x = 517,783 × 517,783
  4. Step 4: Simplify right side
    334,230x = 268,099,235,089
  5. Step 5: Solve for x
    x = 268,099,235,089/334,230
  6. Step 6: Final answer
    x = 802,139.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.