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Finding the Third Proportional to 341,912 and 736,407

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Solution

The third proportional to 341,912 and 736,407 is: 1,586,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,912 : 736,407 = 736,407 : x
  2. Step 2: Convert to fraction form
    341,912/736,407 = 736,407/x
  3. Step 3: Cross multiply
    341,912x = 736,407 × 736,407
  4. Step 4: Simplify right side
    341,912x = 542,295,269,649
  5. Step 5: Solve for x
    x = 542,295,269,649/341,912
  6. Step 6: Final answer
    x = 1,586,066.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.