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Finding the Third Proportional to 294,808 and 693,016

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Solution

The third proportional to 294,808 and 693,016 is: 1,629,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,808 : 693,016 = 693,016 : x
  2. Step 2: Convert to fraction form
    294,808/693,016 = 693,016/x
  3. Step 3: Cross multiply
    294,808x = 693,016 × 693,016
  4. Step 4: Simplify right side
    294,808x = 480,271,176,256
  5. Step 5: Solve for x
    x = 480,271,176,256/294,808
  6. Step 6: Final answer
    x = 1,629,098.18

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.