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Finding the Third Proportional to 254,300 and 373,564

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Solution

The third proportional to 254,300 and 373,564 is: 548,761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,300 : 373,564 = 373,564 : x
  2. Step 2: Convert to fraction form
    254,300/373,564 = 373,564/x
  3. Step 3: Cross multiply
    254,300x = 373,564 × 373,564
  4. Step 4: Simplify right side
    254,300x = 139,550,062,096
  5. Step 5: Solve for x
    x = 139,550,062,096/254,300
  6. Step 6: Final answer
    x = 548,761.55

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