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Finding the Third Proportional to 225,506 and 485,032

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Solution

The third proportional to 225,506 and 485,032 is: 1,043,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,506 : 485,032 = 485,032 : x
  2. Step 2: Convert to fraction form
    225,506/485,032 = 485,032/x
  3. Step 3: Cross multiply
    225,506x = 485,032 × 485,032
  4. Step 4: Simplify right side
    225,506x = 235,256,041,024
  5. Step 5: Solve for x
    x = 235,256,041,024/225,506
  6. Step 6: Final answer
    x = 1,043,236.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.