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Finding the Third Proportional to 395,688 and 876,768

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Solution

The third proportional to 395,688 and 876,768 is: 1,942,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,688 : 876,768 = 876,768 : x
  2. Step 2: Convert to fraction form
    395,688/876,768 = 876,768/x
  3. Step 3: Cross multiply
    395,688x = 876,768 × 876,768
  4. Step 4: Simplify right side
    395,688x = 768,722,125,824
  5. Step 5: Solve for x
    x = 768,722,125,824/395,688
  6. Step 6: Final answer
    x = 1,942,748.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.