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Finding the Third Proportional to 234,722.34 and 505,888.98

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Solution

The third proportional to 234,722.34 and 505,888.98 is: 1,090,325.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,722.34 : 505,888.98 = 505,888.98 : x
  2. Step 2: Convert to fraction form
    234,722.34/505,888.98 = 505,888.98/x
  3. Step 3: Cross multiply
    234,722.34x = 505,888.98 × 505,888.98
  4. Step 4: Simplify right side
    234,722.34x = 255,923,660,559.71
  5. Step 5: Solve for x
    x = 255,923,660,559.71/234,722.34
  6. Step 6: Final answer
    x = 1,090,325.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.