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Finding the Third Proportional to 367,098 and 778,260

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Solution

The third proportional to 367,098 and 778,260 is: 1,649,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,098 : 778,260 = 778,260 : x
  2. Step 2: Convert to fraction form
    367,098/778,260 = 778,260/x
  3. Step 3: Cross multiply
    367,098x = 778,260 × 778,260
  4. Step 4: Simplify right side
    367,098x = 605,688,627,600
  5. Step 5: Solve for x
    x = 605,688,627,600/367,098
  6. Step 6: Final answer
    x = 1,649,937.15

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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.