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Finding the Third Proportional to 227,324 and 356,633

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Solution

The third proportional to 227,324 and 356,633 is: 559,497.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,324 : 356,633 = 356,633 : x
  2. Step 2: Convert to fraction form
    227,324/356,633 = 356,633/x
  3. Step 3: Cross multiply
    227,324x = 356,633 × 356,633
  4. Step 4: Simplify right side
    227,324x = 127,187,096,689
  5. Step 5: Solve for x
    x = 127,187,096,689/227,324
  6. Step 6: Final answer
    x = 559,497.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.