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Finding the Third Proportional to 248,236 and 530,360

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Solution

The third proportional to 248,236 and 530,360 is: 1,133,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,236 : 530,360 = 530,360 : x
  2. Step 2: Convert to fraction form
    248,236/530,360 = 530,360/x
  3. Step 3: Cross multiply
    248,236x = 530,360 × 530,360
  4. Step 4: Simplify right side
    248,236x = 281,281,729,600
  5. Step 5: Solve for x
    x = 281,281,729,600/248,236
  6. Step 6: Final answer
    x = 1,133,122.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.