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Finding the Third Proportional to 208,035 and 490,927.50

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Solution

The third proportional to 208,035 and 490,927.50 is: 1,158,506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,035 : 490,927.50 = 490,927.50 : x
  2. Step 2: Convert to fraction form
    208,035/490,927.50 = 490,927.50/x
  3. Step 3: Cross multiply
    208,035x = 490,927.50 × 490,927.50
  4. Step 4: Simplify right side
    208,035x = 241,009,810,256.25
  5. Step 5: Solve for x
    x = 241,009,810,256.25/208,035
  6. Step 6: Final answer
    x = 1,158,506.07

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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.