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Finding the Third Proportional to 294,766 and 631,592

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Solution

The third proportional to 294,766 and 631,592 is: 1,353,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,766 : 631,592 = 631,592 : x
  2. Step 2: Convert to fraction form
    294,766/631,592 = 631,592/x
  3. Step 3: Cross multiply
    294,766x = 631,592 × 631,592
  4. Step 4: Simplify right side
    294,766x = 398,908,454,464
  5. Step 5: Solve for x
    x = 398,908,454,464/294,766
  6. Step 6: Final answer
    x = 1,353,305.52

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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.