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Finding the Third Proportional to 344,226 and 495,780

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Solution

The third proportional to 344,226 and 495,780 is: 714,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,226 : 495,780 = 495,780 : x
  2. Step 2: Convert to fraction form
    344,226/495,780 = 495,780/x
  3. Step 3: Cross multiply
    344,226x = 495,780 × 495,780
  4. Step 4: Simplify right side
    344,226x = 245,797,808,400
  5. Step 5: Solve for x
    x = 245,797,808,400/344,226
  6. Step 6: Final answer
    x = 714,059.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.