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Finding the Third Proportional to 294,660 and 632,331

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Solution

The third proportional to 294,660 and 632,331 is: 1,356,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,660 : 632,331 = 632,331 : x
  2. Step 2: Convert to fraction form
    294,660/632,331 = 632,331/x
  3. Step 3: Cross multiply
    294,660x = 632,331 × 632,331
  4. Step 4: Simplify right side
    294,660x = 399,842,493,561
  5. Step 5: Solve for x
    x = 399,842,493,561/294,660
  6. Step 6: Final answer
    x = 1,356,962.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.