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Finding the Third Proportional to 334,426 and 518,039

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Solution

The third proportional to 334,426 and 518,039 is: 802,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,426 : 518,039 = 518,039 : x
  2. Step 2: Convert to fraction form
    334,426/518,039 = 518,039/x
  3. Step 3: Cross multiply
    334,426x = 518,039 × 518,039
  4. Step 4: Simplify right side
    334,426x = 268,364,405,521
  5. Step 5: Solve for x
    x = 268,364,405,521/334,426
  6. Step 6: Final answer
    x = 802,462.74

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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.