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Finding the Third Proportional to 221,695.50 and 487,678

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Solution

The third proportional to 221,695.50 and 487,678 is: 1,072,776.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,695.50 : 487,678 = 487,678 : x
  2. Step 2: Convert to fraction form
    221,695.50/487,678 = 487,678/x
  3. Step 3: Cross multiply
    221,695.50x = 487,678 × 487,678
  4. Step 4: Simplify right side
    221,695.50x = 237,829,831,684
  5. Step 5: Solve for x
    x = 237,829,831,684/221,695.50
  6. Step 6: Final answer
    x = 1,072,776.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.