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Finding the Third Proportional to 252,728 and 549,740

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Solution

The third proportional to 252,728 and 549,740 is: 1,195,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,728 : 549,740 = 549,740 : x
  2. Step 2: Convert to fraction form
    252,728/549,740 = 549,740/x
  3. Step 3: Cross multiply
    252,728x = 549,740 × 549,740
  4. Step 4: Simplify right side
    252,728x = 302,214,067,600
  5. Step 5: Solve for x
    x = 302,214,067,600/252,728
  6. Step 6: Final answer
    x = 1,195,807.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.