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Finding the Third Proportional to 420,322.50 and 577,995.75

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Solution

The third proportional to 420,322.50 and 577,995.75 is: 794,816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,322.50 : 577,995.75 = 577,995.75 : x
  2. Step 2: Convert to fraction form
    420,322.50/577,995.75 = 577,995.75/x
  3. Step 3: Cross multiply
    420,322.50x = 577,995.75 × 577,995.75
  4. Step 4: Simplify right side
    420,322.50x = 334,079,087,018.06
  5. Step 5: Solve for x
    x = 334,079,087,018.06/420,322.50
  6. Step 6: Final answer
    x = 794,816.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.