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Finding the Third Proportional to 524,809.13 and 810,399.94

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Solution

The third proportional to 524,809.13 and 810,399.94 is: 1,251,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,809.13 : 810,399.94 = 810,399.94 : x
  2. Step 2: Convert to fraction form
    524,809.13/810,399.94 = 810,399.94/x
  3. Step 3: Cross multiply
    524,809.13x = 810,399.94 × 810,399.94
  4. Step 4: Simplify right side
    524,809.13x = 656,748,058,700.00
  5. Step 5: Solve for x
    x = 656,748,058,700.00/524,809.13
  6. Step 6: Final answer
    x = 1,251,403.66

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