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Finding the Third Proportional to 564,907 and 790,134

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Solution

The third proportional to 564,907 and 790,134 is: 1,105,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,907 : 790,134 = 790,134 : x
  2. Step 2: Convert to fraction form
    564,907/790,134 = 790,134/x
  3. Step 3: Cross multiply
    564,907x = 790,134 × 790,134
  4. Step 4: Simplify right side
    564,907x = 624,311,737,956
  5. Step 5: Solve for x
    x = 624,311,737,956/564,907
  6. Step 6: Final answer
    x = 1,105,158.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.