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Finding the Third Proportional to 289,714 and 465,351

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Solution

The third proportional to 289,714 and 465,351 is: 747,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,714 : 465,351 = 465,351 : x
  2. Step 2: Convert to fraction form
    289,714/465,351 = 465,351/x
  3. Step 3: Cross multiply
    289,714x = 465,351 × 465,351
  4. Step 4: Simplify right side
    289,714x = 216,551,553,201
  5. Step 5: Solve for x
    x = 216,551,553,201/289,714
  6. Step 6: Final answer
    x = 747,466.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.