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Finding the Third Proportional to 246,729 and 530,880

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Solution

The third proportional to 246,729 and 530,880 is: 1,142,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,729 : 530,880 = 530,880 : x
  2. Step 2: Convert to fraction form
    246,729/530,880 = 530,880/x
  3. Step 3: Cross multiply
    246,729x = 530,880 × 530,880
  4. Step 4: Simplify right side
    246,729x = 281,833,574,400
  5. Step 5: Solve for x
    x = 281,833,574,400/246,729
  6. Step 6: Final answer
    x = 1,142,279.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.