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Finding the Third Proportional to 453,097 and 719,822

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Solution

The third proportional to 453,097 and 719,822 is: 1,143,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,097 : 719,822 = 719,822 : x
  2. Step 2: Convert to fraction form
    453,097/719,822 = 719,822/x
  3. Step 3: Cross multiply
    453,097x = 719,822 × 719,822
  4. Step 4: Simplify right side
    453,097x = 518,143,711,684
  5. Step 5: Solve for x
    x = 518,143,711,684/453,097
  6. Step 6: Final answer
    x = 1,143,560.23

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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.