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Finding the Third Proportional to 387,189.56 and 830,428.31

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Solution

The third proportional to 387,189.56 and 830,428.31 is: 1,781,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,189.56 : 830,428.31 = 830,428.31 : x
  2. Step 2: Convert to fraction form
    387,189.56/830,428.31 = 830,428.31/x
  3. Step 3: Cross multiply
    387,189.56x = 830,428.31 × 830,428.31
  4. Step 4: Simplify right side
    387,189.56x = 689,611,182,201.60
  5. Step 5: Solve for x
    x = 689,611,182,201.60/387,189.56
  6. Step 6: Final answer
    x = 1,781,068.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.