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Finding the Third Proportional to 287,379 and 384,385.50

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Solution

The third proportional to 287,379 and 384,385.50 is: 514,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,379 : 384,385.50 = 384,385.50 : x
  2. Step 2: Convert to fraction form
    287,379/384,385.50 = 384,385.50/x
  3. Step 3: Cross multiply
    287,379x = 384,385.50 × 384,385.50
  4. Step 4: Simplify right side
    287,379x = 147,752,212,610.25
  5. Step 5: Solve for x
    x = 147,752,212,610.25/287,379
  6. Step 6: Final answer
    x = 514,137.12

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.