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Finding the Third Proportional to 369,864 and 556,922

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Solution

The third proportional to 369,864 and 556,922 is: 838,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,864 : 556,922 = 556,922 : x
  2. Step 2: Convert to fraction form
    369,864/556,922 = 556,922/x
  3. Step 3: Cross multiply
    369,864x = 556,922 × 556,922
  4. Step 4: Simplify right side
    369,864x = 310,162,114,084
  5. Step 5: Solve for x
    x = 310,162,114,084/369,864
  6. Step 6: Final answer
    x = 838,584.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.