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Finding the Third Proportional to 310,532 and 467,354

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Solution

The third proportional to 310,532 and 467,354 is: 703,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,532 : 467,354 = 467,354 : x
  2. Step 2: Convert to fraction form
    310,532/467,354 = 467,354/x
  3. Step 3: Cross multiply
    310,532x = 467,354 × 467,354
  4. Step 4: Simplify right side
    310,532x = 218,419,761,316
  5. Step 5: Solve for x
    x = 218,419,761,316/310,532
  6. Step 6: Final answer
    x = 703,372.80

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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.