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Finding the Third Proportional to 227,732 and 486,995

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Solution

The third proportional to 227,732 and 486,995 is: 1,041,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,732 : 486,995 = 486,995 : x
  2. Step 2: Convert to fraction form
    227,732/486,995 = 486,995/x
  3. Step 3: Cross multiply
    227,732x = 486,995 × 486,995
  4. Step 4: Simplify right side
    227,732x = 237,164,130,025
  5. Step 5: Solve for x
    x = 237,164,130,025/227,732
  6. Step 6: Final answer
    x = 1,041,417.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.