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Finding the Third Proportional to 401,095 and 601,728

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Solution

The third proportional to 401,095 and 601,728 is: 902,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,095 : 601,728 = 601,728 : x
  2. Step 2: Convert to fraction form
    401,095/601,728 = 601,728/x
  3. Step 3: Cross multiply
    401,095x = 601,728 × 601,728
  4. Step 4: Simplify right side
    401,095x = 362,076,585,984
  5. Step 5: Solve for x
    x = 362,076,585,984/401,095
  6. Step 6: Final answer
    x = 902,720.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.