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Finding the Third Proportional to 733,856.63 and 1,033,430.06

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Solution

The third proportional to 733,856.63 and 1,033,430.06 is: 1,455,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,856.63 : 1,033,430.06 = 1,033,430.06 : x
  2. Step 2: Convert to fraction form
    733,856.63/1,033,430.06 = 1,033,430.06/x
  3. Step 3: Cross multiply
    733,856.63x = 1,033,430.06 × 1,033,430.06
  4. Step 4: Simplify right side
    733,856.63x = 1,067,977,694,078.75
  5. Step 5: Solve for x
    x = 1,067,977,694,078.75/733,856.63
  6. Step 6: Final answer
    x = 1,455,294.75

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.