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Finding the Third Proportional to 320,010 and 495,621

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Solution

The third proportional to 320,010 and 495,621 is: 767,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,010 : 495,621 = 495,621 : x
  2. Step 2: Convert to fraction form
    320,010/495,621 = 495,621/x
  3. Step 3: Cross multiply
    320,010x = 495,621 × 495,621
  4. Step 4: Simplify right side
    320,010x = 245,640,175,641
  5. Step 5: Solve for x
    x = 245,640,175,641/320,010
  6. Step 6: Final answer
    x = 767,601.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.