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Finding the Third Proportional to 623,769 and 965,463

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Solution

The third proportional to 623,769 and 965,463 is: 1,494,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,769 : 965,463 = 965,463 : x
  2. Step 2: Convert to fraction form
    623,769/965,463 = 965,463/x
  3. Step 3: Cross multiply
    623,769x = 965,463 × 965,463
  4. Step 4: Simplify right side
    623,769x = 932,118,804,369
  5. Step 5: Solve for x
    x = 932,118,804,369/623,769
  6. Step 6: Final answer
    x = 1,494,333.33

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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.