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Finding the Third Proportional to 428,043 and 663,700.50

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Solution

The third proportional to 428,043 and 663,700.50 is: 1,029,098.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,043 : 663,700.50 = 663,700.50 : x
  2. Step 2: Convert to fraction form
    428,043/663,700.50 = 663,700.50/x
  3. Step 3: Cross multiply
    428,043x = 663,700.50 × 663,700.50
  4. Step 4: Simplify right side
    428,043x = 440,498,353,700.25
  5. Step 5: Solve for x
    x = 440,498,353,700.25/428,043
  6. Step 6: Final answer
    x = 1,029,098.37

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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.