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Finding the Third Proportional to 370,143 and 796,432.50

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Solution

The third proportional to 370,143 and 796,432.50 is: 1,713,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,143 : 796,432.50 = 796,432.50 : x
  2. Step 2: Convert to fraction form
    370,143/796,432.50 = 796,432.50/x
  3. Step 3: Cross multiply
    370,143x = 796,432.50 × 796,432.50
  4. Step 4: Simplify right side
    370,143x = 634,304,727,056.25
  5. Step 5: Solve for x
    x = 634,304,727,056.25/370,143
  6. Step 6: Final answer
    x = 1,713,674.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.