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Finding the Third Proportional to 286,824 and 592,080

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Solution

The third proportional to 286,824 and 592,080 is: 1,222,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,824 : 592,080 = 592,080 : x
  2. Step 2: Convert to fraction form
    286,824/592,080 = 592,080/x
  3. Step 3: Cross multiply
    286,824x = 592,080 × 592,080
  4. Step 4: Simplify right side
    286,824x = 350,558,726,400
  5. Step 5: Solve for x
    x = 350,558,726,400/286,824
  6. Step 6: Final answer
    x = 1,222,208.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.