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Finding the Third Proportional to 236,979 and 385,009.50

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Solution

The third proportional to 236,979 and 385,009.50 is: 625,508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,979 : 385,009.50 = 385,009.50 : x
  2. Step 2: Convert to fraction form
    236,979/385,009.50 = 385,009.50/x
  3. Step 3: Cross multiply
    236,979x = 385,009.50 × 385,009.50
  4. Step 4: Simplify right side
    236,979x = 148,232,315,090.25
  5. Step 5: Solve for x
    x = 148,232,315,090.25/236,979
  6. Step 6: Final answer
    x = 625,508.23

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.