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Finding the Third Proportional to 452,208 and 719,824

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Solution

The third proportional to 452,208 and 719,824 is: 1,145,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,208 : 719,824 = 719,824 : x
  2. Step 2: Convert to fraction form
    452,208/719,824 = 719,824/x
  3. Step 3: Cross multiply
    452,208x = 719,824 × 719,824
  4. Step 4: Simplify right side
    452,208x = 518,146,590,976
  5. Step 5: Solve for x
    x = 518,146,590,976/452,208
  6. Step 6: Final answer
    x = 1,145,814.74

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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.