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Finding the Third Proportional to 620,130 and 930,195

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Solution

The third proportional to 620,130 and 930,195 is: 1,395,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,130 : 930,195 = 930,195 : x
  2. Step 2: Convert to fraction form
    620,130/930,195 = 930,195/x
  3. Step 3: Cross multiply
    620,130x = 930,195 × 930,195
  4. Step 4: Simplify right side
    620,130x = 865,262,738,025
  5. Step 5: Solve for x
    x = 865,262,738,025/620,130
  6. Step 6: Final answer
    x = 1,395,292.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.