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Finding the Third Proportional to 341,408 and 491,776

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Solution

The third proportional to 341,408 and 491,776 is: 708,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,408 : 491,776 = 491,776 : x
  2. Step 2: Convert to fraction form
    341,408/491,776 = 491,776/x
  3. Step 3: Cross multiply
    341,408x = 491,776 × 491,776
  4. Step 4: Simplify right side
    341,408x = 241,843,634,176
  5. Step 5: Solve for x
    x = 241,843,634,176/341,408
  6. Step 6: Final answer
    x = 708,371.32

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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.