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Finding the Third Proportional to 294,888 and 444,769

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Solution

The third proportional to 294,888 and 444,769 is: 670,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,888 : 444,769 = 444,769 : x
  2. Step 2: Convert to fraction form
    294,888/444,769 = 444,769/x
  3. Step 3: Cross multiply
    294,888x = 444,769 × 444,769
  4. Step 4: Simplify right side
    294,888x = 197,819,463,361
  5. Step 5: Solve for x
    x = 197,819,463,361/294,888
  6. Step 6: Final answer
    x = 670,829.14

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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.