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Finding the Third Proportional to 518,341.50 and 773,511.75

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Solution

The third proportional to 518,341.50 and 773,511.75 is: 1,154,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,341.50 : 773,511.75 = 773,511.75 : x
  2. Step 2: Convert to fraction form
    518,341.50/773,511.75 = 773,511.75/x
  3. Step 3: Cross multiply
    518,341.50x = 773,511.75 × 773,511.75
  4. Step 4: Simplify right side
    518,341.50x = 598,320,427,388.06
  5. Step 5: Solve for x
    x = 598,320,427,388.06/518,341.50
  6. Step 6: Final answer
    x = 1,154,297.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.