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Finding the Third Proportional to 288,082 and 456,059

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Solution

The third proportional to 288,082 and 456,059 is: 721,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,082 : 456,059 = 456,059 : x
  2. Step 2: Convert to fraction form
    288,082/456,059 = 456,059/x
  3. Step 3: Cross multiply
    288,082x = 456,059 × 456,059
  4. Step 4: Simplify right side
    288,082x = 207,989,811,481
  5. Step 5: Solve for x
    x = 207,989,811,481/288,082
  6. Step 6: Final answer
    x = 721,981.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.