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Finding the Third Proportional to 303,560.16 and 653,044.78

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Solution

The third proportional to 303,560.16 and 653,044.78 is: 1,404,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,560.16 : 653,044.78 = 653,044.78 : x
  2. Step 2: Convert to fraction form
    303,560.16/653,044.78 = 653,044.78/x
  3. Step 3: Cross multiply
    303,560.16x = 653,044.78 × 653,044.78
  4. Step 4: Simplify right side
    303,560.16x = 426,467,486,317.86
  5. Step 5: Solve for x
    x = 426,467,486,317.86/303,560.16
  6. Step 6: Final answer
    x = 1,404,886.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.