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Finding the Third Proportional to 295,390 and 712,161

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Solution

The third proportional to 295,390 and 712,161 is: 1,716,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,390 : 712,161 = 712,161 : x
  2. Step 2: Convert to fraction form
    295,390/712,161 = 712,161/x
  3. Step 3: Cross multiply
    295,390x = 712,161 × 712,161
  4. Step 4: Simplify right side
    295,390x = 507,173,289,921
  5. Step 5: Solve for x
    x = 507,173,289,921/295,390
  6. Step 6: Final answer
    x = 1,716,961.61

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.