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Finding the Third Proportional to 294,771 and 631,566

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Solution

The third proportional to 294,771 and 631,566 is: 1,353,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,771 : 631,566 = 631,566 : x
  2. Step 2: Convert to fraction form
    294,771/631,566 = 631,566/x
  3. Step 3: Cross multiply
    294,771x = 631,566 × 631,566
  4. Step 4: Simplify right side
    294,771x = 398,875,612,356
  5. Step 5: Solve for x
    x = 398,875,612,356/294,771
  6. Step 6: Final answer
    x = 1,353,171.15

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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.