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Finding the Third Proportional to 313,456 and 687,002

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Solution

The third proportional to 313,456 and 687,002 is: 1,505,703.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,456 : 687,002 = 687,002 : x
  2. Step 2: Convert to fraction form
    313,456/687,002 = 687,002/x
  3. Step 3: Cross multiply
    313,456x = 687,002 × 687,002
  4. Step 4: Simplify right side
    313,456x = 471,971,748,004
  5. Step 5: Solve for x
    x = 471,971,748,004/313,456
  6. Step 6: Final answer
    x = 1,505,703.35

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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.