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Finding the Third Proportional to 339,348 and 537,254

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Solution

The third proportional to 339,348 and 537,254 is: 850,577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,348 : 537,254 = 537,254 : x
  2. Step 2: Convert to fraction form
    339,348/537,254 = 537,254/x
  3. Step 3: Cross multiply
    339,348x = 537,254 × 537,254
  4. Step 4: Simplify right side
    339,348x = 288,641,860,516
  5. Step 5: Solve for x
    x = 288,641,860,516/339,348
  6. Step 6: Final answer
    x = 850,577.76

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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.