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Finding the Third Proportional to 187,004 and 405,713

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Solution

The third proportional to 187,004 and 405,713 is: 880,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,004 : 405,713 = 405,713 : x
  2. Step 2: Convert to fraction form
    187,004/405,713 = 405,713/x
  3. Step 3: Cross multiply
    187,004x = 405,713 × 405,713
  4. Step 4: Simplify right side
    187,004x = 164,603,038,369
  5. Step 5: Solve for x
    x = 164,603,038,369/187,004
  6. Step 6: Final answer
    x = 880,211.32

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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.