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Finding the Third Proportional to 229,018 and 491,948

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Solution

The third proportional to 229,018 and 491,948 is: 1,056,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,018 : 491,948 = 491,948 : x
  2. Step 2: Convert to fraction form
    229,018/491,948 = 491,948/x
  3. Step 3: Cross multiply
    229,018x = 491,948 × 491,948
  4. Step 4: Simplify right side
    229,018x = 242,012,834,704
  5. Step 5: Solve for x
    x = 242,012,834,704/229,018
  6. Step 6: Final answer
    x = 1,056,741.54

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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.