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Finding the Third Proportional to 428,938.69 and 924,358.69

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Solution

The third proportional to 428,938.69 and 924,358.69 is: 1,991,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,938.69 : 924,358.69 = 924,358.69 : x
  2. Step 2: Convert to fraction form
    428,938.69/924,358.69 = 924,358.69/x
  3. Step 3: Cross multiply
    428,938.69x = 924,358.69 × 924,358.69
  4. Step 4: Simplify right side
    428,938.69x = 854,438,983,156.72
  5. Step 5: Solve for x
    x = 854,438,983,156.72/428,938.69
  6. Step 6: Final answer
    x = 1,991,983.95

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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.