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Finding the Third Proportional to 315,804 and 701,592

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Solution

The third proportional to 315,804 and 701,592 is: 1,558,660.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,804 : 701,592 = 701,592 : x
  2. Step 2: Convert to fraction form
    315,804/701,592 = 701,592/x
  3. Step 3: Cross multiply
    315,804x = 701,592 × 701,592
  4. Step 4: Simplify right side
    315,804x = 492,231,334,464
  5. Step 5: Solve for x
    x = 492,231,334,464/315,804
  6. Step 6: Final answer
    x = 1,558,660.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.