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Finding the Third Proportional to 423,866 and 635,806

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Solution

The third proportional to 423,866 and 635,806 is: 953,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,866 : 635,806 = 635,806 : x
  2. Step 2: Convert to fraction form
    423,866/635,806 = 635,806/x
  3. Step 3: Cross multiply
    423,866x = 635,806 × 635,806
  4. Step 4: Simplify right side
    423,866x = 404,249,269,636
  5. Step 5: Solve for x
    x = 404,249,269,636/423,866
  6. Step 6: Final answer
    x = 953,719.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.