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Finding the Third Proportional to 294,927 and 645,048

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Solution

The third proportional to 294,927 and 645,048 is: 1,410,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,927 : 645,048 = 645,048 : x
  2. Step 2: Convert to fraction form
    294,927/645,048 = 645,048/x
  3. Step 3: Cross multiply
    294,927x = 645,048 × 645,048
  4. Step 4: Simplify right side
    294,927x = 416,086,922,304
  5. Step 5: Solve for x
    x = 416,086,922,304/294,927
  6. Step 6: Final answer
    x = 1,410,813.26

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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.