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Finding the Third Proportional to 465,876 and 702,678

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Solution

The third proportional to 465,876 and 702,678 is: 1,059,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,876 : 702,678 = 702,678 : x
  2. Step 2: Convert to fraction form
    465,876/702,678 = 702,678/x
  3. Step 3: Cross multiply
    465,876x = 702,678 × 702,678
  4. Step 4: Simplify right side
    465,876x = 493,756,371,684
  5. Step 5: Solve for x
    x = 493,756,371,684/465,876
  6. Step 6: Final answer
    x = 1,059,845.05

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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.