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Finding the Third Proportional to 365,278 and 497,616

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Solution

The third proportional to 365,278 and 497,616 is: 677,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,278 : 497,616 = 497,616 : x
  2. Step 2: Convert to fraction form
    365,278/497,616 = 497,616/x
  3. Step 3: Cross multiply
    365,278x = 497,616 × 497,616
  4. Step 4: Simplify right side
    365,278x = 247,621,683,456
  5. Step 5: Solve for x
    x = 247,621,683,456/365,278
  6. Step 6: Final answer
    x = 677,899.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.