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Finding the Third Proportional to 355,248 and 540,162

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Solution

The third proportional to 355,248 and 540,162 is: 821,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,248 : 540,162 = 540,162 : x
  2. Step 2: Convert to fraction form
    355,248/540,162 = 540,162/x
  3. Step 3: Cross multiply
    355,248x = 540,162 × 540,162
  4. Step 4: Simplify right side
    355,248x = 291,774,986,244
  5. Step 5: Solve for x
    x = 291,774,986,244/355,248
  6. Step 6: Final answer
    x = 821,327.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.