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Finding the Third Proportional to 246,071 and 536,614

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Solution

The third proportional to 246,071 and 536,614 is: 1,170,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,071 : 536,614 = 536,614 : x
  2. Step 2: Convert to fraction form
    246,071/536,614 = 536,614/x
  3. Step 3: Cross multiply
    246,071x = 536,614 × 536,614
  4. Step 4: Simplify right side
    246,071x = 287,954,584,996
  5. Step 5: Solve for x
    x = 287,954,584,996/246,071
  6. Step 6: Final answer
    x = 1,170,209.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.