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Finding the Third Proportional to 369,970 and 557,141

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Solution

The third proportional to 369,970 and 557,141 is: 839,003.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,970 : 557,141 = 557,141 : x
  2. Step 2: Convert to fraction form
    369,970/557,141 = 557,141/x
  3. Step 3: Cross multiply
    369,970x = 557,141 × 557,141
  4. Step 4: Simplify right side
    369,970x = 310,406,093,881
  5. Step 5: Solve for x
    x = 310,406,093,881/369,970
  6. Step 6: Final answer
    x = 839,003.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.