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Finding the Third Proportional to 310,695.75 and 665,637.75

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Solution

The third proportional to 310,695.75 and 665,637.75 is: 1,426,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,695.75 : 665,637.75 = 665,637.75 : x
  2. Step 2: Convert to fraction form
    310,695.75/665,637.75 = 665,637.75/x
  3. Step 3: Cross multiply
    310,695.75x = 665,637.75 × 665,637.75
  4. Step 4: Simplify right side
    310,695.75x = 443,073,614,225.06
  5. Step 5: Solve for x
    x = 443,073,614,225.06/310,695.75
  6. Step 6: Final answer
    x = 1,426,069.12

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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.