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Finding the Third Proportional to 296,465 and 443,887

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Solution

The third proportional to 296,465 and 443,887 is: 664,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,465 : 443,887 = 443,887 : x
  2. Step 2: Convert to fraction form
    296,465/443,887 = 443,887/x
  3. Step 3: Cross multiply
    296,465x = 443,887 × 443,887
  4. Step 4: Simplify right side
    296,465x = 197,035,668,769
  5. Step 5: Solve for x
    x = 197,035,668,769/296,465
  6. Step 6: Final answer
    x = 664,616.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.