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Finding the Third Proportional to 535,297.50 and 769,412.25

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Solution

The third proportional to 535,297.50 and 769,412.25 is: 1,105,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,297.50 : 769,412.25 = 769,412.25 : x
  2. Step 2: Convert to fraction form
    535,297.50/769,412.25 = 769,412.25/x
  3. Step 3: Cross multiply
    535,297.50x = 769,412.25 × 769,412.25
  4. Step 4: Simplify right side
    535,297.50x = 591,995,210,450.06
  5. Step 5: Solve for x
    x = 591,995,210,450.06/535,297.50
  6. Step 6: Final answer
    x = 1,105,918.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.