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Finding the Third Proportional to 227,547 and 496,566

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Solution

The third proportional to 227,547 and 496,566 is: 1,083,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,547 : 496,566 = 496,566 : x
  2. Step 2: Convert to fraction form
    227,547/496,566 = 496,566/x
  3. Step 3: Cross multiply
    227,547x = 496,566 × 496,566
  4. Step 4: Simplify right side
    227,547x = 246,577,792,356
  5. Step 5: Solve for x
    x = 246,577,792,356/227,547
  6. Step 6: Final answer
    x = 1,083,634.56

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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.