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Finding the Third Proportional to 341,356.50 and 491,712

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Solution

The third proportional to 341,356.50 and 491,712 is: 708,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,356.50 : 491,712 = 491,712 : x
  2. Step 2: Convert to fraction form
    341,356.50/491,712 = 491,712/x
  3. Step 3: Cross multiply
    341,356.50x = 491,712 × 491,712
  4. Step 4: Simplify right side
    341,356.50x = 241,780,690,944
  5. Step 5: Solve for x
    x = 241,780,690,944/341,356.50
  6. Step 6: Final answer
    x = 708,293.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.