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Finding the Third Proportional to 310,186 and 467,871

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Solution

The third proportional to 310,186 and 467,871 is: 705,716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,186 : 467,871 = 467,871 : x
  2. Step 2: Convert to fraction form
    310,186/467,871 = 467,871/x
  3. Step 3: Cross multiply
    310,186x = 467,871 × 467,871
  4. Step 4: Simplify right side
    310,186x = 218,903,272,641
  5. Step 5: Solve for x
    x = 218,903,272,641/310,186
  6. Step 6: Final answer
    x = 705,716.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.