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Finding the Third Proportional to 246,506 and 530,998

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Solution

The third proportional to 246,506 and 530,998 is: 1,143,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,506 : 530,998 = 530,998 : x
  2. Step 2: Convert to fraction form
    246,506/530,998 = 530,998/x
  3. Step 3: Cross multiply
    246,506x = 530,998 × 530,998
  4. Step 4: Simplify right side
    246,506x = 281,958,876,004
  5. Step 5: Solve for x
    x = 281,958,876,004/246,506
  6. Step 6: Final answer
    x = 1,143,821.55

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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.