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Finding the Third Proportional to 347,861 and 738,368

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Solution

The third proportional to 347,861 and 738,368 is: 1,567,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,861 : 738,368 = 738,368 : x
  2. Step 2: Convert to fraction form
    347,861/738,368 = 738,368/x
  3. Step 3: Cross multiply
    347,861x = 738,368 × 738,368
  4. Step 4: Simplify right side
    347,861x = 545,187,303,424
  5. Step 5: Solve for x
    x = 545,187,303,424/347,861
  6. Step 6: Final answer
    x = 1,567,256.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.