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Finding the Third Proportional to 231,745.50 and 488,403

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Solution

The third proportional to 231,745.50 and 488,403 is: 1,029,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,745.50 : 488,403 = 488,403 : x
  2. Step 2: Convert to fraction form
    231,745.50/488,403 = 488,403/x
  3. Step 3: Cross multiply
    231,745.50x = 488,403 × 488,403
  4. Step 4: Simplify right side
    231,745.50x = 238,537,490,409
  5. Step 5: Solve for x
    x = 238,537,490,409/231,745.50
  6. Step 6: Final answer
    x = 1,029,307.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.