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Finding the Third Proportional to 294,828.19 and 644,864.63

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Solution

The third proportional to 294,828.19 and 644,864.63 is: 1,410,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,828.19 : 644,864.63 = 644,864.63 : x
  2. Step 2: Convert to fraction form
    294,828.19/644,864.63 = 644,864.63/x
  3. Step 3: Cross multiply
    294,828.19x = 644,864.63 × 644,864.63
  4. Step 4: Simplify right side
    294,828.19x = 415,850,384,576.39
  5. Step 5: Solve for x
    x = 415,850,384,576.39/294,828.19
  6. Step 6: Final answer
    x = 1,410,483.81

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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.