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Finding the Third Proportional to 294,324 and 635,754

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Solution

The third proportional to 294,324 and 635,754 is: 1,373,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,324 : 635,754 = 635,754 : x
  2. Step 2: Convert to fraction form
    294,324/635,754 = 635,754/x
  3. Step 3: Cross multiply
    294,324x = 635,754 × 635,754
  4. Step 4: Simplify right side
    294,324x = 404,183,148,516
  5. Step 5: Solve for x
    x = 404,183,148,516/294,324
  6. Step 6: Final answer
    x = 1,373,259.23

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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.