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Finding the Third Proportional to 633,239.02 and 933,114.30

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Solution

The third proportional to 633,239.02 and 933,114.30 is: 1,374,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,239.02 : 933,114.30 = 933,114.30 : x
  2. Step 2: Convert to fraction form
    633,239.02/933,114.30 = 933,114.30/x
  3. Step 3: Cross multiply
    633,239.02x = 933,114.30 × 933,114.30
  4. Step 4: Simplify right side
    633,239.02x = 870,702,305,612.44
  5. Step 5: Solve for x
    x = 870,702,305,612.44/633,239.02
  6. Step 6: Final answer
    x = 1,374,997.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.