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Finding the Third Proportional to 310,182 and 467,865

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Solution

The third proportional to 310,182 and 467,865 is: 705,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,182 : 467,865 = 467,865 : x
  2. Step 2: Convert to fraction form
    310,182/467,865 = 467,865/x
  3. Step 3: Cross multiply
    310,182x = 467,865 × 467,865
  4. Step 4: Simplify right side
    310,182x = 218,897,658,225
  5. Step 5: Solve for x
    x = 218,897,658,225/310,182
  6. Step 6: Final answer
    x = 705,707.16

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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.