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Finding the Third Proportional to 452,882 and 580,827

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Solution

The third proportional to 452,882 and 580,827 is: 744,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,882 : 580,827 = 580,827 : x
  2. Step 2: Convert to fraction form
    452,882/580,827 = 580,827/x
  3. Step 3: Cross multiply
    452,882x = 580,827 × 580,827
  4. Step 4: Simplify right side
    452,882x = 337,360,003,929
  5. Step 5: Solve for x
    x = 337,360,003,929/452,882
  6. Step 6: Final answer
    x = 744,918.11

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.