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Finding the Third Proportional to 298,635 and 462,453

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Solution

The third proportional to 298,635 and 462,453 is: 716,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,635 : 462,453 = 462,453 : x
  2. Step 2: Convert to fraction form
    298,635/462,453 = 462,453/x
  3. Step 3: Cross multiply
    298,635x = 462,453 × 462,453
  4. Step 4: Simplify right side
    298,635x = 213,862,777,209
  5. Step 5: Solve for x
    x = 213,862,777,209/298,635
  6. Step 6: Final answer
    x = 716,134.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.