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Finding the Third Proportional to 303,882 and 665,022

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Solution

The third proportional to 303,882 and 665,022 is: 1,455,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,882 : 665,022 = 665,022 : x
  2. Step 2: Convert to fraction form
    303,882/665,022 = 665,022/x
  3. Step 3: Cross multiply
    303,882x = 665,022 × 665,022
  4. Step 4: Simplify right side
    303,882x = 442,254,260,484
  5. Step 5: Solve for x
    x = 442,254,260,484/303,882
  6. Step 6: Final answer
    x = 1,455,348.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.