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Finding the Third Proportional to 334,236 and 517,786

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Solution

The third proportional to 334,236 and 517,786 is: 802,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,236 : 517,786 = 517,786 : x
  2. Step 2: Convert to fraction form
    334,236/517,786 = 517,786/x
  3. Step 3: Cross multiply
    334,236x = 517,786 × 517,786
  4. Step 4: Simplify right side
    334,236x = 268,102,341,796
  5. Step 5: Solve for x
    x = 268,102,341,796/334,236
  6. Step 6: Final answer
    x = 802,134.84

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