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Finding the Third Proportional to 533,062.13 and 1,258,376.63

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Solution

The third proportional to 533,062.13 and 1,258,376.63 is: 2,970,595.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,062.13 : 1,258,376.63 = 1,258,376.63 : x
  2. Step 2: Convert to fraction form
    533,062.13/1,258,376.63 = 1,258,376.63/x
  3. Step 3: Cross multiply
    533,062.13x = 1,258,376.63 × 1,258,376.63
  4. Step 4: Simplify right side
    533,062.13x = 1,583,511,730,346.39
  5. Step 5: Solve for x
    x = 1,583,511,730,346.39/533,062.13
  6. Step 6: Final answer
    x = 2,970,595.09

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.