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Finding the Third Proportional to 246,664 and 531,724

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Solution

The third proportional to 246,664 and 531,724 is: 1,146,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,664 : 531,724 = 531,724 : x
  2. Step 2: Convert to fraction form
    246,664/531,724 = 531,724/x
  3. Step 3: Cross multiply
    246,664x = 531,724 × 531,724
  4. Step 4: Simplify right side
    246,664x = 282,730,412,176
  5. Step 5: Solve for x
    x = 282,730,412,176/246,664
  6. Step 6: Final answer
    x = 1,146,216.77

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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.