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Finding the Third Proportional to 453,084 and 719,805

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Solution

The third proportional to 453,084 and 719,805 is: 1,143,539.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,084 : 719,805 = 719,805 : x
  2. Step 2: Convert to fraction form
    453,084/719,805 = 719,805/x
  3. Step 3: Cross multiply
    453,084x = 719,805 × 719,805
  4. Step 4: Simplify right side
    453,084x = 518,119,238,025
  5. Step 5: Solve for x
    x = 518,119,238,025/453,084
  6. Step 6: Final answer
    x = 1,143,539.03

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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.