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Finding the Third Proportional to 428,368.50 and 930,592.13

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Solution

The third proportional to 428,368.50 and 930,592.13 is: 2,021,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,368.50 : 930,592.13 = 930,592.13 : x
  2. Step 2: Convert to fraction form
    428,368.50/930,592.13 = 930,592.13/x
  3. Step 3: Cross multiply
    428,368.50x = 930,592.13 × 930,592.13
  4. Step 4: Simplify right side
    428,368.50x = 866,001,703,112.02
  5. Step 5: Solve for x
    x = 866,001,703,112.02/428,368.50
  6. Step 6: Final answer
    x = 2,021,627.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.