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Finding the Third Proportional to 254,042 and 374,045

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Solution

The third proportional to 254,042 and 374,045 is: 550,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,042 : 374,045 = 374,045 : x
  2. Step 2: Convert to fraction form
    254,042/374,045 = 374,045/x
  3. Step 3: Cross multiply
    254,042x = 374,045 × 374,045
  4. Step 4: Simplify right side
    254,042x = 139,909,662,025
  5. Step 5: Solve for x
    x = 139,909,662,025/254,042
  6. Step 6: Final answer
    x = 550,734.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.