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Finding the Third Proportional to 452,172.38 and 719,771.06

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Solution

The third proportional to 452,172.38 and 719,771.06 is: 1,145,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,172.38 : 719,771.06 = 719,771.06 : x
  2. Step 2: Convert to fraction form
    452,172.38/719,771.06 = 719,771.06/x
  3. Step 3: Cross multiply
    452,172.38x = 719,771.06 × 719,771.06
  4. Step 4: Simplify right side
    452,172.38x = 518,070,382,412.38
  5. Step 5: Solve for x
    x = 518,070,382,412.38/452,172.38
  6. Step 6: Final answer
    x = 1,145,736.47

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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.