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Finding the Third Proportional to 294,573 and 646,494

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Solution

The third proportional to 294,573 and 646,494 is: 1,418,848.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,573 : 646,494 = 646,494 : x
  2. Step 2: Convert to fraction form
    294,573/646,494 = 646,494/x
  3. Step 3: Cross multiply
    294,573x = 646,494 × 646,494
  4. Step 4: Simplify right side
    294,573x = 417,954,492,036
  5. Step 5: Solve for x
    x = 417,954,492,036/294,573
  6. Step 6: Final answer
    x = 1,418,848.61

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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.