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Finding the Third Proportional to 315,801 and 701,586

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Solution

The third proportional to 315,801 and 701,586 is: 1,558,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,801 : 701,586 = 701,586 : x
  2. Step 2: Convert to fraction form
    315,801/701,586 = 701,586/x
  3. Step 3: Cross multiply
    315,801x = 701,586 × 701,586
  4. Step 4: Simplify right side
    315,801x = 492,222,915,396
  5. Step 5: Solve for x
    x = 492,222,915,396/315,801
  6. Step 6: Final answer
    x = 1,558,649.01

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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.