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Finding the Third Proportional to 334,370 and 518,322

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Solution

The third proportional to 334,370 and 518,322 is: 803,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,370 : 518,322 = 518,322 : x
  2. Step 2: Convert to fraction form
    334,370/518,322 = 518,322/x
  3. Step 3: Cross multiply
    334,370x = 518,322 × 518,322
  4. Step 4: Simplify right side
    334,370x = 268,657,695,684
  5. Step 5: Solve for x
    x = 268,657,695,684/334,370
  6. Step 6: Final answer
    x = 803,474.28

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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.