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Finding the Third Proportional to 233,365.50 and 508,972.50

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Solution

The third proportional to 233,365.50 and 508,972.50 is: 1,110,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,365.50 : 508,972.50 = 508,972.50 : x
  2. Step 2: Convert to fraction form
    233,365.50/508,972.50 = 508,972.50/x
  3. Step 3: Cross multiply
    233,365.50x = 508,972.50 × 508,972.50
  4. Step 4: Simplify right side
    233,365.50x = 259,053,005,756.25
  5. Step 5: Solve for x
    x = 259,053,005,756.25/233,365.50
  6. Step 6: Final answer
    x = 1,110,074.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.