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Finding the Third Proportional to 246,564 and 531,108

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Solution

The third proportional to 246,564 and 531,108 is: 1,144,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,564 : 531,108 = 531,108 : x
  2. Step 2: Convert to fraction form
    246,564/531,108 = 531,108/x
  3. Step 3: Cross multiply
    246,564x = 531,108 × 531,108
  4. Step 4: Simplify right side
    246,564x = 282,075,707,664
  5. Step 5: Solve for x
    x = 282,075,707,664/246,564
  6. Step 6: Final answer
    x = 1,144,026.33

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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.