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Finding the Third Proportional to 294,810 and 693,021

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Solution

The third proportional to 294,810 and 693,021 is: 1,629,110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,810 : 693,021 = 693,021 : x
  2. Step 2: Convert to fraction form
    294,810/693,021 = 693,021/x
  3. Step 3: Cross multiply
    294,810x = 693,021 × 693,021
  4. Step 4: Simplify right side
    294,810x = 480,278,106,441
  5. Step 5: Solve for x
    x = 480,278,106,441/294,810
  6. Step 6: Final answer
    x = 1,629,110.64

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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.