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Finding the Third Proportional to 610,674 and 1,305,208.50

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Solution

The third proportional to 610,674 and 1,305,208.50 is: 2,789,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,674 : 1,305,208.50 = 1,305,208.50 : x
  2. Step 2: Convert to fraction form
    610,674/1,305,208.50 = 1,305,208.50/x
  3. Step 3: Cross multiply
    610,674x = 1,305,208.50 × 1,305,208.50
  4. Step 4: Simplify right side
    610,674x = 1,703,569,228,472.25
  5. Step 5: Solve for x
    x = 1,703,569,228,472.25/610,674
  6. Step 6: Final answer
    x = 2,789,654.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.