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Finding the Third Proportional to 427,345.50 and 911,895

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Solution

The third proportional to 427,345.50 and 911,895 is: 1,945,855.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,345.50 : 911,895 = 911,895 : x
  2. Step 2: Convert to fraction form
    427,345.50/911,895 = 911,895/x
  3. Step 3: Cross multiply
    427,345.50x = 911,895 × 911,895
  4. Step 4: Simplify right side
    427,345.50x = 831,552,491,025
  5. Step 5: Solve for x
    x = 831,552,491,025/427,345.50
  6. Step 6: Final answer
    x = 1,945,855.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.