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Finding the Third Proportional to 401,099 and 601,737

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Solution

The third proportional to 401,099 and 601,737 is: 902,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,099 : 601,737 = 601,737 : x
  2. Step 2: Convert to fraction form
    401,099/601,737 = 601,737/x
  3. Step 3: Cross multiply
    401,099x = 601,737 × 601,737
  4. Step 4: Simplify right side
    401,099x = 362,087,417,169
  5. Step 5: Solve for x
    x = 362,087,417,169/401,099
  6. Step 6: Final answer
    x = 902,738.27

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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.