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Finding the Third Proportional to 294,907.50 and 631,833.75

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Solution

The third proportional to 294,907.50 and 631,833.75 is: 1,353,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,907.50 : 631,833.75 = 631,833.75 : x
  2. Step 2: Convert to fraction form
    294,907.50/631,833.75 = 631,833.75/x
  3. Step 3: Cross multiply
    294,907.50x = 631,833.75 × 631,833.75
  4. Step 4: Simplify right side
    294,907.50x = 399,213,887,639.06
  5. Step 5: Solve for x
    x = 399,213,887,639.06/294,907.50
  6. Step 6: Final answer
    x = 1,353,691.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.