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Finding the Third Proportional to 294,752 and 444,929

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Solution

The third proportional to 294,752 and 444,929 is: 671,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,752 : 444,929 = 444,929 : x
  2. Step 2: Convert to fraction form
    294,752/444,929 = 444,929/x
  3. Step 3: Cross multiply
    294,752x = 444,929 × 444,929
  4. Step 4: Simplify right side
    294,752x = 197,961,815,041
  5. Step 5: Solve for x
    x = 197,961,815,041/294,752
  6. Step 6: Final answer
    x = 671,621.62

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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.