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Finding the Third Proportional to 665,797.50 and 1,029,768.75

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Solution

The third proportional to 665,797.50 and 1,029,768.75 is: 1,592,712.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,797.50 : 1,029,768.75 = 1,029,768.75 : x
  2. Step 2: Convert to fraction form
    665,797.50/1,029,768.75 = 1,029,768.75/x
  3. Step 3: Cross multiply
    665,797.50x = 1,029,768.75 × 1,029,768.75
  4. Step 4: Simplify right side
    665,797.50x = 1,060,423,678,476.56
  5. Step 5: Solve for x
    x = 1,060,423,678,476.56/665,797.50
  6. Step 6: Final answer
    x = 1,592,712.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.