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Finding the Third Proportional to 246,232 and 531,840

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Solution

The third proportional to 246,232 and 531,840 is: 1,148,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,232 : 531,840 = 531,840 : x
  2. Step 2: Convert to fraction form
    246,232/531,840 = 531,840/x
  3. Step 3: Cross multiply
    246,232x = 531,840 × 531,840
  4. Step 4: Simplify right side
    246,232x = 282,853,785,600
  5. Step 5: Solve for x
    x = 282,853,785,600/246,232
  6. Step 6: Final answer
    x = 1,148,728.78

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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.