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Finding the Third Proportional to 248,780 and 530,084

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Solution

The third proportional to 248,780 and 530,084 is: 1,129,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,780 : 530,084 = 530,084 : x
  2. Step 2: Convert to fraction form
    248,780/530,084 = 530,084/x
  3. Step 3: Cross multiply
    248,780x = 530,084 × 530,084
  4. Step 4: Simplify right side
    248,780x = 280,989,047,056
  5. Step 5: Solve for x
    x = 280,989,047,056/248,780
  6. Step 6: Final answer
    x = 1,129,467.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.