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Finding the Third Proportional to 334,127 and 517,836

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Solution

The third proportional to 334,127 and 517,836 is: 802,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,127 : 517,836 = 517,836 : x
  2. Step 2: Convert to fraction form
    334,127/517,836 = 517,836/x
  3. Step 3: Cross multiply
    334,127x = 517,836 × 517,836
  4. Step 4: Simplify right side
    334,127x = 268,154,122,896
  5. Step 5: Solve for x
    x = 268,154,122,896/334,127
  6. Step 6: Final answer
    x = 802,551.49

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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.