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Finding the Third Proportional to 535,321 and 788,192

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Solution

The third proportional to 535,321 and 788,192 is: 1,160,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,321 : 788,192 = 788,192 : x
  2. Step 2: Convert to fraction form
    535,321/788,192 = 788,192/x
  3. Step 3: Cross multiply
    535,321x = 788,192 × 788,192
  4. Step 4: Simplify right side
    535,321x = 621,246,628,864
  5. Step 5: Solve for x
    x = 621,246,628,864/535,321
  6. Step 6: Final answer
    x = 1,160,512.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.