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Finding the Third Proportional to 294,352 and 640,256

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Solution

The third proportional to 294,352 and 640,256 is: 1,392,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,352 : 640,256 = 640,256 : x
  2. Step 2: Convert to fraction form
    294,352/640,256 = 640,256/x
  3. Step 3: Cross multiply
    294,352x = 640,256 × 640,256
  4. Step 4: Simplify right side
    294,352x = 409,927,745,536
  5. Step 5: Solve for x
    x = 409,927,745,536/294,352
  6. Step 6: Final answer
    x = 1,392,644.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.