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Finding the Third Proportional to 362,336 and 852,572

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Solution

The third proportional to 362,336 and 852,572 is: 2,006,091.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,336 : 852,572 = 852,572 : x
  2. Step 2: Convert to fraction form
    362,336/852,572 = 852,572/x
  3. Step 3: Cross multiply
    362,336x = 852,572 × 852,572
  4. Step 4: Simplify right side
    362,336x = 726,879,015,184
  5. Step 5: Solve for x
    x = 726,879,015,184/362,336
  6. Step 6: Final answer
    x = 2,006,091.07

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.