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Finding the Third Proportional to 254,428 and 374,214

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Solution

The third proportional to 254,428 and 374,214 is: 550,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,428 : 374,214 = 374,214 : x
  2. Step 2: Convert to fraction form
    254,428/374,214 = 374,214/x
  3. Step 3: Cross multiply
    254,428x = 374,214 × 374,214
  4. Step 4: Simplify right side
    254,428x = 140,036,117,796
  5. Step 5: Solve for x
    x = 140,036,117,796/254,428
  6. Step 6: Final answer
    x = 550,395.86

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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.