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Finding the Third Proportional to 336,038 and 532,361

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Solution

The third proportional to 336,038 and 532,361 is: 843,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,038 : 532,361 = 532,361 : x
  2. Step 2: Convert to fraction form
    336,038/532,361 = 532,361/x
  3. Step 3: Cross multiply
    336,038x = 532,361 × 532,361
  4. Step 4: Simplify right side
    336,038x = 283,408,234,321
  5. Step 5: Solve for x
    x = 283,408,234,321/336,038
  6. Step 6: Final answer
    x = 843,381.51

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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.