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Finding the Third Proportional to 508,733 and 1,059,328

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Solution

The third proportional to 508,733 and 1,059,328 is: 2,205,824.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,733 : 1,059,328 = 1,059,328 : x
  2. Step 2: Convert to fraction form
    508,733/1,059,328 = 1,059,328/x
  3. Step 3: Cross multiply
    508,733x = 1,059,328 × 1,059,328
  4. Step 4: Simplify right side
    508,733x = 1,122,175,811,584
  5. Step 5: Solve for x
    x = 1,122,175,811,584/508,733
  6. Step 6: Final answer
    x = 2,205,824.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.