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Finding the Third Proportional to 491,056 and 766,431

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Solution

The third proportional to 491,056 and 766,431 is: 1,196,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,056 : 766,431 = 766,431 : x
  2. Step 2: Convert to fraction form
    491,056/766,431 = 766,431/x
  3. Step 3: Cross multiply
    491,056x = 766,431 × 766,431
  4. Step 4: Simplify right side
    491,056x = 587,416,477,761
  5. Step 5: Solve for x
    x = 587,416,477,761/491,056
  6. Step 6: Final answer
    x = 1,196,231.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.