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Finding the Third Proportional to 236,925 and 559,297.50

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Solution

The third proportional to 236,925 and 559,297.50 is: 1,320,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,925 : 559,297.50 = 559,297.50 : x
  2. Step 2: Convert to fraction form
    236,925/559,297.50 = 559,297.50/x
  3. Step 3: Cross multiply
    236,925x = 559,297.50 × 559,297.50
  4. Step 4: Simplify right side
    236,925x = 312,813,693,506.25
  5. Step 5: Solve for x
    x = 312,813,693,506.25/236,925
  6. Step 6: Final answer
    x = 1,320,306.82

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.