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Finding the Third Proportional to 233,346.66 and 508,928.06

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Solution

The third proportional to 233,346.66 and 508,928.06 is: 1,109,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,346.66 : 508,928.06 = 508,928.06 : x
  2. Step 2: Convert to fraction form
    233,346.66/508,928.06 = 508,928.06/x
  3. Step 3: Cross multiply
    233,346.66x = 508,928.06 × 508,928.06
  4. Step 4: Simplify right side
    233,346.66x = 259,007,772,800.00
  5. Step 5: Solve for x
    x = 259,007,772,800.00/233,346.66
  6. Step 6: Final answer
    x = 1,109,969.93

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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.