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Finding the Third Proportional to 294,932 and 645,058

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Solution

The third proportional to 294,932 and 645,058 is: 1,410,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,932 : 645,058 = 645,058 : x
  2. Step 2: Convert to fraction form
    294,932/645,058 = 645,058/x
  3. Step 3: Cross multiply
    294,932x = 645,058 × 645,058
  4. Step 4: Simplify right side
    294,932x = 416,099,823,364
  5. Step 5: Solve for x
    x = 416,099,823,364/294,932
  6. Step 6: Final answer
    x = 1,410,833.08

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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.