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Finding the Third Proportional to 294,316 and 635,674

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Solution

The third proportional to 294,316 and 635,674 is: 1,372,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,316 : 635,674 = 635,674 : x
  2. Step 2: Convert to fraction form
    294,316/635,674 = 635,674/x
  3. Step 3: Cross multiply
    294,316x = 635,674 × 635,674
  4. Step 4: Simplify right side
    294,316x = 404,081,434,276
  5. Step 5: Solve for x
    x = 404,081,434,276/294,316
  6. Step 6: Final answer
    x = 1,372,950.96

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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.