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Finding the Third Proportional to 248,763 and 530,046

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Solution

The third proportional to 248,763 and 530,046 is: 1,129,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,763 : 530,046 = 530,046 : x
  2. Step 2: Convert to fraction form
    248,763/530,046 = 530,046/x
  3. Step 3: Cross multiply
    248,763x = 530,046 × 530,046
  4. Step 4: Simplify right side
    248,763x = 280,948,762,116
  5. Step 5: Solve for x
    x = 280,948,762,116/248,763
  6. Step 6: Final answer
    x = 1,129,383.24

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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.