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Finding the Third Proportional to 294,753 and 444,931

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Solution

The third proportional to 294,753 and 444,931 is: 671,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,753 : 444,931 = 444,931 : x
  2. Step 2: Convert to fraction form
    294,753/444,931 = 444,931/x
  3. Step 3: Cross multiply
    294,753x = 444,931 × 444,931
  4. Step 4: Simplify right side
    294,753x = 197,963,594,761
  5. Step 5: Solve for x
    x = 197,963,594,761/294,753
  6. Step 6: Final answer
    x = 671,625.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.