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Finding the Third Proportional to 293,368.50 and 442,860.75

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Solution

The third proportional to 293,368.50 and 442,860.75 is: 668,530.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,368.50 : 442,860.75 = 442,860.75 : x
  2. Step 2: Convert to fraction form
    293,368.50/442,860.75 = 442,860.75/x
  3. Step 3: Cross multiply
    293,368.50x = 442,860.75 × 442,860.75
  4. Step 4: Simplify right side
    293,368.50x = 196,125,643,890.56
  5. Step 5: Solve for x
    x = 196,125,643,890.56/293,368.50
  6. Step 6: Final answer
    x = 668,530.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.