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Finding the Third Proportional to 310,623.50 and 665,499.50

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Solution

The third proportional to 310,623.50 and 665,499.50 is: 1,425,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,623.50 : 665,499.50 = 665,499.50 : x
  2. Step 2: Convert to fraction form
    310,623.50/665,499.50 = 665,499.50/x
  3. Step 3: Cross multiply
    310,623.50x = 665,499.50 × 665,499.50
  4. Step 4: Simplify right side
    310,623.50x = 442,889,584,500.25
  5. Step 5: Solve for x
    x = 442,889,584,500.25/310,623.50
  6. Step 6: Final answer
    x = 1,425,808.36

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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.