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Finding the Third Proportional to 254,784 and 539,904

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Solution

The third proportional to 254,784 and 539,904 is: 1,144,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,784 : 539,904 = 539,904 : x
  2. Step 2: Convert to fraction form
    254,784/539,904 = 539,904/x
  3. Step 3: Cross multiply
    254,784x = 539,904 × 539,904
  4. Step 4: Simplify right side
    254,784x = 291,496,329,216
  5. Step 5: Solve for x
    x = 291,496,329,216/254,784
  6. Step 6: Final answer
    x = 1,144,091.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.