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Finding the Third Proportional to 303,575 and 653,074

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Solution

The third proportional to 303,575 and 653,074 is: 1,404,943.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,575 : 653,074 = 653,074 : x
  2. Step 2: Convert to fraction form
    303,575/653,074 = 653,074/x
  3. Step 3: Cross multiply
    303,575x = 653,074 × 653,074
  4. Step 4: Simplify right side
    303,575x = 426,505,649,476
  5. Step 5: Solve for x
    x = 426,505,649,476/303,575
  6. Step 6: Final answer
    x = 1,404,943.26

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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.