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Finding the Third Proportional to 187,974 and 406,924

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Solution

The third proportional to 187,974 and 406,924 is: 880,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,974 : 406,924 = 406,924 : x
  2. Step 2: Convert to fraction form
    187,974/406,924 = 406,924/x
  3. Step 3: Cross multiply
    187,974x = 406,924 × 406,924
  4. Step 4: Simplify right side
    187,974x = 165,587,141,776
  5. Step 5: Solve for x
    x = 165,587,141,776/187,974
  6. Step 6: Final answer
    x = 880,904.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.