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Finding the Third Proportional to 450,744 and 701,955

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Solution

The third proportional to 450,744 and 701,955 is: 1,093,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,744 : 701,955 = 701,955 : x
  2. Step 2: Convert to fraction form
    450,744/701,955 = 701,955/x
  3. Step 3: Cross multiply
    450,744x = 701,955 × 701,955
  4. Step 4: Simplify right side
    450,744x = 492,740,822,025
  5. Step 5: Solve for x
    x = 492,740,822,025/450,744
  6. Step 6: Final answer
    x = 1,093,172.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.