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Finding the Third Proportional to 491,229 and 749,961

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Solution

The third proportional to 491,229 and 749,961 is: 1,144,968.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,229 : 749,961 = 749,961 : x
  2. Step 2: Convert to fraction form
    491,229/749,961 = 749,961/x
  3. Step 3: Cross multiply
    491,229x = 749,961 × 749,961
  4. Step 4: Simplify right side
    491,229x = 562,441,501,521
  5. Step 5: Solve for x
    x = 562,441,501,521/491,229
  6. Step 6: Final answer
    x = 1,144,968.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.