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Finding the Third Proportional to 295,575 and 635,497

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Solution

The third proportional to 295,575 and 635,497 is: 1,366,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,575 : 635,497 = 635,497 : x
  2. Step 2: Convert to fraction form
    295,575/635,497 = 635,497/x
  3. Step 3: Cross multiply
    295,575x = 635,497 × 635,497
  4. Step 4: Simplify right side
    295,575x = 403,856,437,009
  5. Step 5: Solve for x
    x = 403,856,437,009/295,575
  6. Step 6: Final answer
    x = 1,366,341.66

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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.