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Finding the Third Proportional to 336,068 and 532,404

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Solution

The third proportional to 336,068 and 532,404 is: 843,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,068 : 532,404 = 532,404 : x
  2. Step 2: Convert to fraction form
    336,068/532,404 = 532,404/x
  3. Step 3: Cross multiply
    336,068x = 532,404 × 532,404
  4. Step 4: Simplify right side
    336,068x = 283,454,019,216
  5. Step 5: Solve for x
    x = 283,454,019,216/336,068
  6. Step 6: Final answer
    x = 843,442.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.