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Finding the Third Proportional to 367,030 and 778,125

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Solution

The third proportional to 367,030 and 778,125 is: 1,649,670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,030 : 778,125 = 778,125 : x
  2. Step 2: Convert to fraction form
    367,030/778,125 = 778,125/x
  3. Step 3: Cross multiply
    367,030x = 778,125 × 778,125
  4. Step 4: Simplify right side
    367,030x = 605,478,515,625
  5. Step 5: Solve for x
    x = 605,478,515,625/367,030
  6. Step 6: Final answer
    x = 1,649,670.37

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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.