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Finding the Third Proportional to 310,457 and 467,499

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Solution

The third proportional to 310,457 and 467,499 is: 703,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,457 : 467,499 = 467,499 : x
  2. Step 2: Convert to fraction form
    310,457/467,499 = 467,499/x
  3. Step 3: Cross multiply
    310,457x = 467,499 × 467,499
  4. Step 4: Simplify right side
    310,457x = 218,555,315,001
  5. Step 5: Solve for x
    x = 218,555,315,001/310,457
  6. Step 6: Final answer
    x = 703,979.34

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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.