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Finding the Third Proportional to 223,360 and 526,864

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Solution

The third proportional to 223,360 and 526,864 is: 1,242,772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,360 : 526,864 = 526,864 : x
  2. Step 2: Convert to fraction form
    223,360/526,864 = 526,864/x
  3. Step 3: Cross multiply
    223,360x = 526,864 × 526,864
  4. Step 4: Simplify right side
    223,360x = 277,585,674,496
  5. Step 5: Solve for x
    x = 277,585,674,496/223,360
  6. Step 6: Final answer
    x = 1,242,772.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.