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Finding the Third Proportional to 294,811 and 693,023

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Solution

The third proportional to 294,811 and 693,023 is: 1,629,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,811 : 693,023 = 693,023 : x
  2. Step 2: Convert to fraction form
    294,811/693,023 = 693,023/x
  3. Step 3: Cross multiply
    294,811x = 693,023 × 693,023
  4. Step 4: Simplify right side
    294,811x = 480,280,878,529
  5. Step 5: Solve for x
    x = 480,280,878,529/294,811
  6. Step 6: Final answer
    x = 1,629,114.51

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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.