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Finding the Third Proportional to 296,610 and 635,255

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Solution

The third proportional to 296,610 and 635,255 is: 1,360,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,610 : 635,255 = 635,255 : x
  2. Step 2: Convert to fraction form
    296,610/635,255 = 635,255/x
  3. Step 3: Cross multiply
    296,610x = 635,255 × 635,255
  4. Step 4: Simplify right side
    296,610x = 403,548,915,025
  5. Step 5: Solve for x
    x = 403,548,915,025/296,610
  6. Step 6: Final answer
    x = 1,360,537.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.