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Finding the Third Proportional to 294,767 and 631,591

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Solution

The third proportional to 294,767 and 631,591 is: 1,353,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,767 : 631,591 = 631,591 : x
  2. Step 2: Convert to fraction form
    294,767/631,591 = 631,591/x
  3. Step 3: Cross multiply
    294,767x = 631,591 × 631,591
  4. Step 4: Simplify right side
    294,767x = 398,907,191,281
  5. Step 5: Solve for x
    x = 398,907,191,281/294,767
  6. Step 6: Final answer
    x = 1,353,296.64

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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.