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Finding the Third Proportional to 367,038 and 778,141

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Solution

The third proportional to 367,038 and 778,141 is: 1,649,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,038 : 778,141 = 778,141 : x
  2. Step 2: Convert to fraction form
    367,038/778,141 = 778,141/x
  3. Step 3: Cross multiply
    367,038x = 778,141 × 778,141
  4. Step 4: Simplify right side
    367,038x = 605,503,415,881
  5. Step 5: Solve for x
    x = 605,503,415,881/367,038
  6. Step 6: Final answer
    x = 1,649,702.25

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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.