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Finding the Third Proportional to 349,333 and 527,319

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Solution

The third proportional to 349,333 and 527,319 is: 795,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,333 : 527,319 = 527,319 : x
  2. Step 2: Convert to fraction form
    349,333/527,319 = 527,319/x
  3. Step 3: Cross multiply
    349,333x = 527,319 × 527,319
  4. Step 4: Simplify right side
    349,333x = 278,065,327,761
  5. Step 5: Solve for x
    x = 278,065,327,761/349,333
  6. Step 6: Final answer
    x = 795,989.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.