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Finding the Third Proportional to 310,566 and 456,005

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Solution

The third proportional to 310,566 and 456,005 is: 669,553.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,566 : 456,005 = 456,005 : x
  2. Step 2: Convert to fraction form
    310,566/456,005 = 456,005/x
  3. Step 3: Cross multiply
    310,566x = 456,005 × 456,005
  4. Step 4: Simplify right side
    310,566x = 207,940,560,025
  5. Step 5: Solve for x
    x = 207,940,560,025/310,566
  6. Step 6: Final answer
    x = 669,553.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.