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Finding the Third Proportional to 458,869 and 510,537

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Solution

The third proportional to 458,869 and 510,537 is: 568,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,869 : 510,537 = 510,537 : x
  2. Step 2: Convert to fraction form
    458,869/510,537 = 510,537/x
  3. Step 3: Cross multiply
    458,869x = 510,537 × 510,537
  4. Step 4: Simplify right side
    458,869x = 260,648,028,369
  5. Step 5: Solve for x
    x = 260,648,028,369/458,869
  6. Step 6: Final answer
    x = 568,022.74

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.