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Finding the Third Proportional to 874,700 and 1,305,298.50

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Solution

The third proportional to 874,700 and 1,305,298.50 is: 1,947,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,700 : 1,305,298.50 = 1,305,298.50 : x
  2. Step 2: Convert to fraction form
    874,700/1,305,298.50 = 1,305,298.50/x
  3. Step 3: Cross multiply
    874,700x = 1,305,298.50 × 1,305,298.50
  4. Step 4: Simplify right side
    874,700x = 1,703,804,174,102.25
  5. Step 5: Solve for x
    x = 1,703,804,174,102.25/874,700
  6. Step 6: Final answer
    x = 1,947,872.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.