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Finding the Third Proportional to 372,846 and 559,309.50

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Solution

The third proportional to 372,846 and 559,309.50 is: 839,025.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,846 : 559,309.50 = 559,309.50 : x
  2. Step 2: Convert to fraction form
    372,846/559,309.50 = 559,309.50/x
  3. Step 3: Cross multiply
    372,846x = 559,309.50 × 559,309.50
  4. Step 4: Simplify right side
    372,846x = 312,827,116,790.25
  5. Step 5: Solve for x
    x = 312,827,116,790.25/372,846
  6. Step 6: Final answer
    x = 839,025.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.