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Finding the Third Proportional to 515,089.13 and 788,003.44

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Solution

The third proportional to 515,089.13 and 788,003.44 is: 1,205,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,089.13 : 788,003.44 = 788,003.44 : x
  2. Step 2: Convert to fraction form
    515,089.13/788,003.44 = 788,003.44/x
  3. Step 3: Cross multiply
    515,089.13x = 788,003.44 × 788,003.44
  4. Step 4: Simplify right side
    515,089.13x = 620,949,417,511.82
  5. Step 5: Solve for x
    x = 620,949,417,511.82/515,089.13
  6. Step 6: Final answer
    x = 1,205,518.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.