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Finding the Third Proportional to 453,082 and 719,802

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Solution

The third proportional to 453,082 and 719,802 is: 1,143,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,082 : 719,802 = 719,802 : x
  2. Step 2: Convert to fraction form
    453,082/719,802 = 719,802/x
  3. Step 3: Cross multiply
    453,082x = 719,802 × 719,802
  4. Step 4: Simplify right side
    453,082x = 518,114,919,204
  5. Step 5: Solve for x
    x = 518,114,919,204/453,082
  6. Step 6: Final answer
    x = 1,143,534.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.