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Finding the Third Proportional to 635,429.50 and 990,657

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Solution

The third proportional to 635,429.50 and 990,657 is: 1,544,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,429.50 : 990,657 = 990,657 : x
  2. Step 2: Convert to fraction form
    635,429.50/990,657 = 990,657/x
  3. Step 3: Cross multiply
    635,429.50x = 990,657 × 990,657
  4. Step 4: Simplify right side
    635,429.50x = 981,401,291,649
  5. Step 5: Solve for x
    x = 981,401,291,649/635,429.50
  6. Step 6: Final answer
    x = 1,544,469.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.