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Finding the Third Proportional to 603,237 and 933,195

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Solution

The third proportional to 603,237 and 933,195 is: 1,443,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,237 : 933,195 = 933,195 : x
  2. Step 2: Convert to fraction form
    603,237/933,195 = 933,195/x
  3. Step 3: Cross multiply
    603,237x = 933,195 × 933,195
  4. Step 4: Simplify right side
    603,237x = 870,852,908,025
  5. Step 5: Solve for x
    x = 870,852,908,025/603,237
  6. Step 6: Final answer
    x = 1,443,633.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.