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Finding the Third Proportional to 310,054 and 681,092

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Solution

The third proportional to 310,054 and 681,092 is: 1,496,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,054 : 681,092 = 681,092 : x
  2. Step 2: Convert to fraction form
    310,054/681,092 = 681,092/x
  3. Step 3: Cross multiply
    310,054x = 681,092 × 681,092
  4. Step 4: Simplify right side
    310,054x = 463,886,312,464
  5. Step 5: Solve for x
    x = 463,886,312,464/310,054
  6. Step 6: Final answer
    x = 1,496,146.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.