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Finding the Third Proportional to 294,858 and 631,782

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Solution

The third proportional to 294,858 and 631,782 is: 1,353,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,858 : 631,782 = 631,782 : x
  2. Step 2: Convert to fraction form
    294,858/631,782 = 631,782/x
  3. Step 3: Cross multiply
    294,858x = 631,782 × 631,782
  4. Step 4: Simplify right side
    294,858x = 399,148,495,524
  5. Step 5: Solve for x
    x = 399,148,495,524/294,858
  6. Step 6: Final answer
    x = 1,353,697.36

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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.