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Finding the Third Proportional to 344,776 and 473,269

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Solution

The third proportional to 344,776 and 473,269 is: 649,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,776 : 473,269 = 473,269 : x
  2. Step 2: Convert to fraction form
    344,776/473,269 = 473,269/x
  3. Step 3: Cross multiply
    344,776x = 473,269 × 473,269
  4. Step 4: Simplify right side
    344,776x = 223,983,546,361
  5. Step 5: Solve for x
    x = 223,983,546,361/344,776
  6. Step 6: Final answer
    x = 649,649.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.