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Finding the Third Proportional to 367,026 and 778,117

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Solution

The third proportional to 367,026 and 778,117 is: 1,649,654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,026 : 778,117 = 778,117 : x
  2. Step 2: Convert to fraction form
    367,026/778,117 = 778,117/x
  3. Step 3: Cross multiply
    367,026x = 778,117 × 778,117
  4. Step 4: Simplify right side
    367,026x = 605,466,065,689
  5. Step 5: Solve for x
    x = 605,466,065,689/367,026
  6. Step 6: Final answer
    x = 1,649,654.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.