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Finding the Third Proportional to 310,766.63 and 665,637.75

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Solution

The third proportional to 310,766.63 and 665,637.75 is: 1,425,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,766.63 : 665,637.75 = 665,637.75 : x
  2. Step 2: Convert to fraction form
    310,766.63/665,637.75 = 665,637.75/x
  3. Step 3: Cross multiply
    310,766.63x = 665,637.75 × 665,637.75
  4. Step 4: Simplify right side
    310,766.63x = 443,073,614,225.06
  5. Step 5: Solve for x
    x = 443,073,614,225.06/310,766.63
  6. Step 6: Final answer
    x = 1,425,743.88

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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.