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Finding the Third Proportional to 246,647 and 531,688

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Solution

The third proportional to 246,647 and 531,688 is: 1,146,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,647 : 531,688 = 531,688 : x
  2. Step 2: Convert to fraction form
    246,647/531,688 = 531,688/x
  3. Step 3: Cross multiply
    246,647x = 531,688 × 531,688
  4. Step 4: Simplify right side
    246,647x = 282,692,129,344
  5. Step 5: Solve for x
    x = 282,692,129,344/246,647
  6. Step 6: Final answer
    x = 1,146,140.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.