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Finding the Third Proportional to 438,598 and 960,958

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Solution

The third proportional to 438,598 and 960,958 is: 2,105,436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,598 : 960,958 = 960,958 : x
  2. Step 2: Convert to fraction form
    438,598/960,958 = 960,958/x
  3. Step 3: Cross multiply
    438,598x = 960,958 × 960,958
  4. Step 4: Simplify right side
    438,598x = 923,440,277,764
  5. Step 5: Solve for x
    x = 923,440,277,764/438,598
  6. Step 6: Final answer
    x = 2,105,436.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.