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Finding the Third Proportional to 295,588 and 635,526

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Solution

The third proportional to 295,588 and 635,526 is: 1,366,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,588 : 635,526 = 635,526 : x
  2. Step 2: Convert to fraction form
    295,588/635,526 = 635,526/x
  3. Step 3: Cross multiply
    295,588x = 635,526 × 635,526
  4. Step 4: Simplify right side
    295,588x = 403,893,296,676
  5. Step 5: Solve for x
    x = 403,893,296,676/295,588
  6. Step 6: Final answer
    x = 1,366,406.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.