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Finding the Third Proportional to 310,196 and 467,888

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Solution

The third proportional to 310,196 and 467,888 is: 705,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,196 : 467,888 = 467,888 : x
  2. Step 2: Convert to fraction form
    310,196/467,888 = 467,888/x
  3. Step 3: Cross multiply
    310,196x = 467,888 × 467,888
  4. Step 4: Simplify right side
    310,196x = 218,919,180,544
  5. Step 5: Solve for x
    x = 218,919,180,544/310,196
  6. Step 6: Final answer
    x = 705,744.69

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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.