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Finding the Third Proportional to 294,110 and 644,224

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Solution

The third proportional to 294,110 and 644,224 is: 1,411,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,110 : 644,224 = 644,224 : x
  2. Step 2: Convert to fraction form
    294,110/644,224 = 644,224/x
  3. Step 3: Cross multiply
    294,110x = 644,224 × 644,224
  4. Step 4: Simplify right side
    294,110x = 415,024,562,176
  5. Step 5: Solve for x
    x = 415,024,562,176/294,110
  6. Step 6: Final answer
    x = 1,411,120.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.