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Finding the Third Proportional to 452,175.75 and 719,776.13

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Solution

The third proportional to 452,175.75 and 719,776.13 is: 1,145,744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,175.75 : 719,776.13 = 719,776.13 : x
  2. Step 2: Convert to fraction form
    452,175.75/719,776.13 = 719,776.13/x
  3. Step 3: Cross multiply
    452,175.75x = 719,776.13 × 719,776.13
  4. Step 4: Simplify right side
    452,175.75x = 518,077,670,120.02
  5. Step 5: Solve for x
    x = 518,077,670,120.02/452,175.75
  6. Step 6: Final answer
    x = 1,145,744.04

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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.