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Finding the Third Proportional to 705,300.75 and 1,057,941

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Solution

The third proportional to 705,300.75 and 1,057,941 is: 1,586,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,300.75 : 1,057,941 = 1,057,941 : x
  2. Step 2: Convert to fraction form
    705,300.75/1,057,941 = 1,057,941/x
  3. Step 3: Cross multiply
    705,300.75x = 1,057,941 × 1,057,941
  4. Step 4: Simplify right side
    705,300.75x = 1,119,239,159,481
  5. Step 5: Solve for x
    x = 1,119,239,159,481/705,300.75
  6. Step 6: Final answer
    x = 1,586,896.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.