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Finding the Third Proportional to 306,043.31 and 482,541.05

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Solution

The third proportional to 306,043.31 and 482,541.05 is: 760,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,043.31 : 482,541.05 = 482,541.05 : x
  2. Step 2: Convert to fraction form
    306,043.31/482,541.05 = 482,541.05/x
  3. Step 3: Cross multiply
    306,043.31x = 482,541.05 × 482,541.05
  4. Step 4: Simplify right side
    306,043.31x = 232,845,861,919.22
  5. Step 5: Solve for x
    x = 232,845,861,919.22/306,043.31
  6. Step 6: Final answer
    x = 760,826.50

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.