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Finding the Third Proportional to 246,678 and 539,490

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Solution

The third proportional to 246,678 and 539,490 is: 1,179,876.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,678 : 539,490 = 539,490 : x
  2. Step 2: Convert to fraction form
    246,678/539,490 = 539,490/x
  3. Step 3: Cross multiply
    246,678x = 539,490 × 539,490
  4. Step 4: Simplify right side
    246,678x = 291,049,460,100
  5. Step 5: Solve for x
    x = 291,049,460,100/246,678
  6. Step 6: Final answer
    x = 1,179,876.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.