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Finding the Third Proportional to 252,084 and 390,519

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Solution

The third proportional to 252,084 and 390,519 is: 604,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,084 : 390,519 = 390,519 : x
  2. Step 2: Convert to fraction form
    252,084/390,519 = 390,519/x
  3. Step 3: Cross multiply
    252,084x = 390,519 × 390,519
  4. Step 4: Simplify right side
    252,084x = 152,505,089,361
  5. Step 5: Solve for x
    x = 152,505,089,361/252,084
  6. Step 6: Final answer
    x = 604,977.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.