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Finding the Third Proportional to 294,658 and 645,044

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Solution

The third proportional to 294,658 and 645,044 is: 1,412,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,658 : 645,044 = 645,044 : x
  2. Step 2: Convert to fraction form
    294,658/645,044 = 645,044/x
  3. Step 3: Cross multiply
    294,658x = 645,044 × 645,044
  4. Step 4: Simplify right side
    294,658x = 416,081,761,936
  5. Step 5: Solve for x
    x = 416,081,761,936/294,658
  6. Step 6: Final answer
    x = 1,412,083.71

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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.