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Finding the Third Proportional to 296,254 and 447,002

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Solution

The third proportional to 296,254 and 447,002 is: 674,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,254 : 447,002 = 447,002 : x
  2. Step 2: Convert to fraction form
    296,254/447,002 = 447,002/x
  3. Step 3: Cross multiply
    296,254x = 447,002 × 447,002
  4. Step 4: Simplify right side
    296,254x = 199,810,788,004
  5. Step 5: Solve for x
    x = 199,810,788,004/296,254
  6. Step 6: Final answer
    x = 674,457.69

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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.