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Finding the Third Proportional to 294,308 and 635,245

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Solution

The third proportional to 294,308 and 635,245 is: 1,371,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,308 : 635,245 = 635,245 : x
  2. Step 2: Convert to fraction form
    294,308/635,245 = 635,245/x
  3. Step 3: Cross multiply
    294,308x = 635,245 × 635,245
  4. Step 4: Simplify right side
    294,308x = 403,536,210,025
  5. Step 5: Solve for x
    x = 403,536,210,025/294,308
  6. Step 6: Final answer
    x = 1,371,135.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.