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Finding the Third Proportional to 368,569 and 495,604

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Solution

The third proportional to 368,569 and 495,604 is: 666,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,569 : 495,604 = 495,604 : x
  2. Step 2: Convert to fraction form
    368,569/495,604 = 495,604/x
  3. Step 3: Cross multiply
    368,569x = 495,604 × 495,604
  4. Step 4: Simplify right side
    368,569x = 245,623,324,816
  5. Step 5: Solve for x
    x = 245,623,324,816/368,569
  6. Step 6: Final answer
    x = 666,424.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.