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Finding the Third Proportional to 294,696.56 and 644,562.56

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Solution

The third proportional to 294,696.56 and 644,562.56 is: 1,409,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,696.56 : 644,562.56 = 644,562.56 : x
  2. Step 2: Convert to fraction form
    294,696.56/644,562.56 = 644,562.56/x
  3. Step 3: Cross multiply
    294,696.56x = 644,562.56 × 644,562.56
  4. Step 4: Simplify right side
    294,696.56x = 415,460,896,976.57
  5. Step 5: Solve for x
    x = 415,460,896,976.57/294,696.56
  6. Step 6: Final answer
    x = 1,409,792.14

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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.