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Finding the Third Proportional to 291,319 and 393,595

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Solution

The third proportional to 291,319 and 393,595 is: 531,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,319 : 393,595 = 393,595 : x
  2. Step 2: Convert to fraction form
    291,319/393,595 = 393,595/x
  3. Step 3: Cross multiply
    291,319x = 393,595 × 393,595
  4. Step 4: Simplify right side
    291,319x = 154,917,024,025
  5. Step 5: Solve for x
    x = 154,917,024,025/291,319
  6. Step 6: Final answer
    x = 531,777.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.