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Finding the Third Proportional to 566,500 and 1,232,904

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Solution

The third proportional to 566,500 and 1,232,904 is: 2,683,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,500 : 1,232,904 = 1,232,904 : x
  2. Step 2: Convert to fraction form
    566,500/1,232,904 = 1,232,904/x
  3. Step 3: Cross multiply
    566,500x = 1,232,904 × 1,232,904
  4. Step 4: Simplify right side
    566,500x = 1,520,052,273,216
  5. Step 5: Solve for x
    x = 1,520,052,273,216/566,500
  6. Step 6: Final answer
    x = 2,683,234.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.