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Finding the Third Proportional to 524,617.50 and 810,111

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Solution

The third proportional to 524,617.50 and 810,111 is: 1,250,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,617.50 : 810,111 = 810,111 : x
  2. Step 2: Convert to fraction form
    524,617.50/810,111 = 810,111/x
  3. Step 3: Cross multiply
    524,617.50x = 810,111 × 810,111
  4. Step 4: Simplify right side
    524,617.50x = 656,279,832,321
  5. Step 5: Solve for x
    x = 656,279,832,321/524,617.50
  6. Step 6: Final answer
    x = 1,250,968.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.