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Finding the Third Proportional to 187,003 and 405,710

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Solution

The third proportional to 187,003 and 405,710 is: 880,203.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,003 : 405,710 = 405,710 : x
  2. Step 2: Convert to fraction form
    187,003/405,710 = 405,710/x
  3. Step 3: Cross multiply
    187,003x = 405,710 × 405,710
  4. Step 4: Simplify right side
    187,003x = 164,600,604,100
  5. Step 5: Solve for x
    x = 164,600,604,100/187,003
  6. Step 6: Final answer
    x = 880,203.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.