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Finding the Third Proportional to 623,056 and 967,631

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Solution

The third proportional to 623,056 and 967,631 is: 1,502,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,056 : 967,631 = 967,631 : x
  2. Step 2: Convert to fraction form
    623,056/967,631 = 967,631/x
  3. Step 3: Cross multiply
    623,056x = 967,631 × 967,631
  4. Step 4: Simplify right side
    623,056x = 936,309,752,161
  5. Step 5: Solve for x
    x = 936,309,752,161/623,056
  6. Step 6: Final answer
    x = 1,502,769.82

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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.