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Finding the Third Proportional to 708,603.19 and 729,015.19

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Solution

The third proportional to 708,603.19 and 729,015.19 is: 750,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,603.19 : 729,015.19 = 729,015.19 : x
  2. Step 2: Convert to fraction form
    708,603.19/729,015.19 = 729,015.19/x
  3. Step 3: Cross multiply
    708,603.19x = 729,015.19 × 729,015.19
  4. Step 4: Simplify right side
    708,603.19x = 531,463,143,605.66
  5. Step 5: Solve for x
    x = 531,463,143,605.66/708,603.19
  6. Step 6: Final answer
    x = 750,015.17

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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.