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Finding the Third Proportional to 294,630.75 and 441,460.13

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Solution

The third proportional to 294,630.75 and 441,460.13 is: 661,461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,630.75 : 441,460.13 = 441,460.13 : x
  2. Step 2: Convert to fraction form
    294,630.75/441,460.13 = 441,460.13/x
  3. Step 3: Cross multiply
    294,630.75x = 441,460.13 × 441,460.13
  4. Step 4: Simplify right side
    294,630.75x = 194,887,041,965.02
  5. Step 5: Solve for x
    x = 194,887,041,965.02/294,630.75
  6. Step 6: Final answer
    x = 661,461.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.