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Finding the Third Proportional to 294,786 and 631,623

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Solution

The third proportional to 294,786 and 631,623 is: 1,353,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,786 : 631,623 = 631,623 : x
  2. Step 2: Convert to fraction form
    294,786/631,623 = 631,623/x
  3. Step 3: Cross multiply
    294,786x = 631,623 × 631,623
  4. Step 4: Simplify right side
    294,786x = 398,947,614,129
  5. Step 5: Solve for x
    x = 398,947,614,129/294,786
  6. Step 6: Final answer
    x = 1,353,346.54

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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.