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Finding the Third Proportional to 486,831 and 711,409.50

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Solution

The third proportional to 486,831 and 711,409.50 is: 1,039,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,831 : 711,409.50 = 711,409.50 : x
  2. Step 2: Convert to fraction form
    486,831/711,409.50 = 711,409.50/x
  3. Step 3: Cross multiply
    486,831x = 711,409.50 × 711,409.50
  4. Step 4: Simplify right side
    486,831x = 506,103,476,690.25
  5. Step 5: Solve for x
    x = 506,103,476,690.25/486,831
  6. Step 6: Final answer
    x = 1,039,587.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.