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Finding the Third Proportional to 360,452 and 526,982

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Solution

The third proportional to 360,452 and 526,982 is: 770,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,452 : 526,982 = 526,982 : x
  2. Step 2: Convert to fraction form
    360,452/526,982 = 526,982/x
  3. Step 3: Cross multiply
    360,452x = 526,982 × 526,982
  4. Step 4: Simplify right side
    360,452x = 277,710,028,324
  5. Step 5: Solve for x
    x = 277,710,028,324/360,452
  6. Step 6: Final answer
    x = 770,449.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.