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Finding the Third Proportional to 294,306 and 635,241

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Solution

The third proportional to 294,306 and 635,241 is: 1,371,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,306 : 635,241 = 635,241 : x
  2. Step 2: Convert to fraction form
    294,306/635,241 = 635,241/x
  3. Step 3: Cross multiply
    294,306x = 635,241 × 635,241
  4. Step 4: Simplify right side
    294,306x = 403,531,128,081
  5. Step 5: Solve for x
    x = 403,531,128,081/294,306
  6. Step 6: Final answer
    x = 1,371,127.77

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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.