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Finding the Third Proportional to 529,652.25 and 1,157,652

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Solution

The third proportional to 529,652.25 and 1,157,652 is: 2,530,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,652.25 : 1,157,652 = 1,157,652 : x
  2. Step 2: Convert to fraction form
    529,652.25/1,157,652 = 1,157,652/x
  3. Step 3: Cross multiply
    529,652.25x = 1,157,652 × 1,157,652
  4. Step 4: Simplify right side
    529,652.25x = 1,340,158,153,104
  5. Step 5: Solve for x
    x = 1,340,158,153,104/529,652.25
  6. Step 6: Final answer
    x = 2,530,260.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.