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Finding the Third Proportional to 240,054 and 523,308

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Solution

The third proportional to 240,054 and 523,308 is: 1,140,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,054 : 523,308 = 523,308 : x
  2. Step 2: Convert to fraction form
    240,054/523,308 = 523,308/x
  3. Step 3: Cross multiply
    240,054x = 523,308 × 523,308
  4. Step 4: Simplify right side
    240,054x = 273,851,262,864
  5. Step 5: Solve for x
    x = 273,851,262,864/240,054
  6. Step 6: Final answer
    x = 1,140,790.25

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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.