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Finding the Third Proportional to 291,738 and 644,712

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Solution

The third proportional to 291,738 and 644,712 is: 1,424,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,738 : 644,712 = 644,712 : x
  2. Step 2: Convert to fraction form
    291,738/644,712 = 644,712/x
  3. Step 3: Cross multiply
    291,738x = 644,712 × 644,712
  4. Step 4: Simplify right side
    291,738x = 415,653,562,944
  5. Step 5: Solve for x
    x = 415,653,562,944/291,738
  6. Step 6: Final answer
    x = 1,424,749.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.