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Finding the Third Proportional to 708,606.56 and 729,018.56

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Solution

The third proportional to 708,606.56 and 729,018.56 is: 750,018.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,606.56 : 729,018.56 = 729,018.56 : x
  2. Step 2: Convert to fraction form
    708,606.56/729,018.56 = 729,018.56/x
  3. Step 3: Cross multiply
    708,606.56x = 729,018.56 × 729,018.56
  4. Step 4: Simplify right side
    708,606.56x = 531,468,064,469.57
  5. Step 5: Solve for x
    x = 531,468,064,469.57/708,606.56
  6. Step 6: Final answer
    x = 750,018.55

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.