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Finding the Third Proportional to 334,428 and 518,042

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Solution

The third proportional to 334,428 and 518,042 is: 802,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,428 : 518,042 = 518,042 : x
  2. Step 2: Convert to fraction form
    334,428/518,042 = 518,042/x
  3. Step 3: Cross multiply
    334,428x = 518,042 × 518,042
  4. Step 4: Simplify right side
    334,428x = 268,367,513,764
  5. Step 5: Solve for x
    x = 268,367,513,764/334,428
  6. Step 6: Final answer
    x = 802,467.24

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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.