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Finding the Third Proportional to 307,063.50 and 666,576

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Solution

The third proportional to 307,063.50 and 666,576 is: 1,447,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,063.50 : 666,576 = 666,576 : x
  2. Step 2: Convert to fraction form
    307,063.50/666,576 = 666,576/x
  3. Step 3: Cross multiply
    307,063.50x = 666,576 × 666,576
  4. Step 4: Simplify right side
    307,063.50x = 444,323,563,776
  5. Step 5: Solve for x
    x = 444,323,563,776/307,063.50
  6. Step 6: Final answer
    x = 1,447,008.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.