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Finding the Third Proportional to 486,399 and 654,808.50

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Solution

The third proportional to 486,399 and 654,808.50 is: 881,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,399 : 654,808.50 = 654,808.50 : x
  2. Step 2: Convert to fraction form
    486,399/654,808.50 = 654,808.50/x
  3. Step 3: Cross multiply
    486,399x = 654,808.50 × 654,808.50
  4. Step 4: Simplify right side
    486,399x = 428,774,171,672.25
  5. Step 5: Solve for x
    x = 428,774,171,672.25/486,399
  6. Step 6: Final answer
    x = 881,527.66

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.