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Finding the Third Proportional to 452,188 and 719,796

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Solution

The third proportional to 452,188 and 719,796 is: 1,145,776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,188 : 719,796 = 719,796 : x
  2. Step 2: Convert to fraction form
    452,188/719,796 = 719,796/x
  3. Step 3: Cross multiply
    452,188x = 719,796 × 719,796
  4. Step 4: Simplify right side
    452,188x = 518,106,281,616
  5. Step 5: Solve for x
    x = 518,106,281,616/452,188
  6. Step 6: Final answer
    x = 1,145,776.27

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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.