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Finding the Third Proportional to 270,824 and 594,160

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Solution

The third proportional to 270,824 and 594,160 is: 1,303,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,824 : 594,160 = 594,160 : x
  2. Step 2: Convert to fraction form
    270,824/594,160 = 594,160/x
  3. Step 3: Cross multiply
    270,824x = 594,160 × 594,160
  4. Step 4: Simplify right side
    270,824x = 353,026,105,600
  5. Step 5: Solve for x
    x = 353,026,105,600/270,824
  6. Step 6: Final answer
    x = 1,303,525.93

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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.