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Finding the Third Proportional to 294,792 and 631,642

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Solution

The third proportional to 294,792 and 631,642 is: 1,353,400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,792 : 631,642 = 631,642 : x
  2. Step 2: Convert to fraction form
    294,792/631,642 = 631,642/x
  3. Step 3: Cross multiply
    294,792x = 631,642 × 631,642
  4. Step 4: Simplify right side
    294,792x = 398,971,616,164
  5. Step 5: Solve for x
    x = 398,971,616,164/294,792
  6. Step 6: Final answer
    x = 1,353,400.42

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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.