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Finding the Third Proportional to 245,826.94 and 534,915.38

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Solution

The third proportional to 245,826.94 and 534,915.38 is: 1,163,967.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,826.94 : 534,915.38 = 534,915.38 : x
  2. Step 2: Convert to fraction form
    245,826.94/534,915.38 = 534,915.38/x
  3. Step 3: Cross multiply
    245,826.94x = 534,915.38 × 534,915.38
  4. Step 4: Simplify right side
    245,826.94x = 286,134,458,411.39
  5. Step 5: Solve for x
    x = 286,134,458,411.39/245,826.94
  6. Step 6: Final answer
    x = 1,163,967.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.