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Finding the Third Proportional to 430,683 and 927,178.50

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Solution

The third proportional to 430,683 and 927,178.50 is: 1,996,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,683 : 927,178.50 = 927,178.50 : x
  2. Step 2: Convert to fraction form
    430,683/927,178.50 = 927,178.50/x
  3. Step 3: Cross multiply
    430,683x = 927,178.50 × 927,178.50
  4. Step 4: Simplify right side
    430,683x = 859,659,970,862.25
  5. Step 5: Solve for x
    x = 859,659,970,862.25/430,683
  6. Step 6: Final answer
    x = 1,996,038.78

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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.