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Finding the Third Proportional to 334,265 and 517,808

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Solution

The third proportional to 334,265 and 517,808 is: 802,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,265 : 517,808 = 517,808 : x
  2. Step 2: Convert to fraction form
    334,265/517,808 = 517,808/x
  3. Step 3: Cross multiply
    334,265x = 517,808 × 517,808
  4. Step 4: Simplify right side
    334,265x = 268,125,124,864
  5. Step 5: Solve for x
    x = 268,125,124,864/334,265
  6. Step 6: Final answer
    x = 802,133.41

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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.