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Finding the Third Proportional to 287,721 and 672,025.50

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Solution

The third proportional to 287,721 and 672,025.50 is: 1,569,639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,721 : 672,025.50 = 672,025.50 : x
  2. Step 2: Convert to fraction form
    287,721/672,025.50 = 672,025.50/x
  3. Step 3: Cross multiply
    287,721x = 672,025.50 × 672,025.50
  4. Step 4: Simplify right side
    287,721x = 451,618,272,650.25
  5. Step 5: Solve for x
    x = 451,618,272,650.25/287,721
  6. Step 6: Final answer
    x = 1,569,639.59

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.