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Finding the Third Proportional to 483,136 and 798,504

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Solution

The third proportional to 483,136 and 798,504 is: 1,319,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,136 : 798,504 = 798,504 : x
  2. Step 2: Convert to fraction form
    483,136/798,504 = 798,504/x
  3. Step 3: Cross multiply
    483,136x = 798,504 × 798,504
  4. Step 4: Simplify right side
    483,136x = 637,608,638,016
  5. Step 5: Solve for x
    x = 637,608,638,016/483,136
  6. Step 6: Final answer
    x = 1,319,729.10

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.