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Finding the Third Proportional to 241,580 and 512,396

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Solution

The third proportional to 241,580 and 512,396 is: 1,086,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,580 : 512,396 = 512,396 : x
  2. Step 2: Convert to fraction form
    241,580/512,396 = 512,396/x
  3. Step 3: Cross multiply
    241,580x = 512,396 × 512,396
  4. Step 4: Simplify right side
    241,580x = 262,549,660,816
  5. Step 5: Solve for x
    x = 262,549,660,816/241,580
  6. Step 6: Final answer
    x = 1,086,802.14

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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.