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Finding the Third Proportional to 294,210 and 629,892

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Solution

The third proportional to 294,210 and 629,892 is: 1,348,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,210 : 629,892 = 629,892 : x
  2. Step 2: Convert to fraction form
    294,210/629,892 = 629,892/x
  3. Step 3: Cross multiply
    294,210x = 629,892 × 629,892
  4. Step 4: Simplify right side
    294,210x = 396,763,931,664
  5. Step 5: Solve for x
    x = 396,763,931,664/294,210
  6. Step 6: Final answer
    x = 1,348,573.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.