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Finding the Third Proportional to 303,521 and 655,672

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Solution

The third proportional to 303,521 and 655,672 is: 1,416,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,521 : 655,672 = 655,672 : x
  2. Step 2: Convert to fraction form
    303,521/655,672 = 655,672/x
  3. Step 3: Cross multiply
    303,521x = 655,672 × 655,672
  4. Step 4: Simplify right side
    303,521x = 429,905,771,584
  5. Step 5: Solve for x
    x = 429,905,771,584/303,521
  6. Step 6: Final answer
    x = 1,416,395.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.