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Finding the Third Proportional to 581,286.38 and 848,961

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Solution

The third proportional to 581,286.38 and 848,961 is: 1,239,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,286.38 : 848,961 = 848,961 : x
  2. Step 2: Convert to fraction form
    581,286.38/848,961 = 848,961/x
  3. Step 3: Cross multiply
    581,286.38x = 848,961 × 848,961
  4. Step 4: Simplify right side
    581,286.38x = 720,734,779,521
  5. Step 5: Solve for x
    x = 720,734,779,521/581,286.38
  6. Step 6: Final answer
    x = 1,239,896.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.