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Finding the Third Proportional to 308,045 and 473,286

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Solution

The third proportional to 308,045 and 473,286 is: 727,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,045 : 473,286 = 473,286 : x
  2. Step 2: Convert to fraction form
    308,045/473,286 = 473,286/x
  3. Step 3: Cross multiply
    308,045x = 473,286 × 473,286
  4. Step 4: Simplify right side
    308,045x = 223,999,637,796
  5. Step 5: Solve for x
    x = 223,999,637,796/308,045
  6. Step 6: Final answer
    x = 727,165.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.