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Finding the Third Proportional to 485,333 and 734,788

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Solution

The third proportional to 485,333 and 734,788 is: 1,112,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,333 : 734,788 = 734,788 : x
  2. Step 2: Convert to fraction form
    485,333/734,788 = 734,788/x
  3. Step 3: Cross multiply
    485,333x = 734,788 × 734,788
  4. Step 4: Simplify right side
    485,333x = 539,913,404,944
  5. Step 5: Solve for x
    x = 539,913,404,944/485,333
  6. Step 6: Final answer
    x = 1,112,459.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.