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Finding the Third Proportional to 296,525 and 635,955

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Solution

The third proportional to 296,525 and 635,955 is: 1,363,928.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,525 : 635,955 = 635,955 : x
  2. Step 2: Convert to fraction form
    296,525/635,955 = 635,955/x
  3. Step 3: Cross multiply
    296,525x = 635,955 × 635,955
  4. Step 4: Simplify right side
    296,525x = 404,438,762,025
  5. Step 5: Solve for x
    x = 404,438,762,025/296,525
  6. Step 6: Final answer
    x = 1,363,928.04

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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.