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Finding the Third Proportional to 592,339.50 and 846,456.75

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Solution

The third proportional to 592,339.50 and 846,456.75 is: 1,209,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,339.50 : 846,456.75 = 846,456.75 : x
  2. Step 2: Convert to fraction form
    592,339.50/846,456.75 = 846,456.75/x
  3. Step 3: Cross multiply
    592,339.50x = 846,456.75 × 846,456.75
  4. Step 4: Simplify right side
    592,339.50x = 716,489,029,620.56
  5. Step 5: Solve for x
    x = 716,489,029,620.56/592,339.50
  6. Step 6: Final answer
    x = 1,209,591.85

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.