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Finding the Third Proportional to 246,024 and 539,148

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Solution

The third proportional to 246,024 and 539,148 is: 1,181,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,024 : 539,148 = 539,148 : x
  2. Step 2: Convert to fraction form
    246,024/539,148 = 539,148/x
  3. Step 3: Cross multiply
    246,024x = 539,148 × 539,148
  4. Step 4: Simplify right side
    246,024x = 290,680,565,904
  5. Step 5: Solve for x
    x = 290,680,565,904/246,024
  6. Step 6: Final answer
    x = 1,181,513.05

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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.