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Finding the Third Proportional to 310,533.75 and 665,331.75

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Solution

The third proportional to 310,533.75 and 665,331.75 is: 1,425,501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,533.75 : 665,331.75 = 665,331.75 : x
  2. Step 2: Convert to fraction form
    310,533.75/665,331.75 = 665,331.75/x
  3. Step 3: Cross multiply
    310,533.75x = 665,331.75 × 665,331.75
  4. Step 4: Simplify right side
    310,533.75x = 442,666,337,558.06
  5. Step 5: Solve for x
    x = 442,666,337,558.06/310,533.75
  6. Step 6: Final answer
    x = 1,425,501.54

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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.