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Finding the Third Proportional to 240,444 and 526,248

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Solution

The third proportional to 240,444 and 526,248 is: 1,151,773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,444 : 526,248 = 526,248 : x
  2. Step 2: Convert to fraction form
    240,444/526,248 = 526,248/x
  3. Step 3: Cross multiply
    240,444x = 526,248 × 526,248
  4. Step 4: Simplify right side
    240,444x = 276,936,957,504
  5. Step 5: Solve for x
    x = 276,936,957,504/240,444
  6. Step 6: Final answer
    x = 1,151,773.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.