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Finding the Third Proportional to 246,119 and 579,489

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Solution

The third proportional to 246,119 and 579,489 is: 1,364,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,119 : 579,489 = 579,489 : x
  2. Step 2: Convert to fraction form
    246,119/579,489 = 579,489/x
  3. Step 3: Cross multiply
    246,119x = 579,489 × 579,489
  4. Step 4: Simplify right side
    246,119x = 335,807,501,121
  5. Step 5: Solve for x
    x = 335,807,501,121/246,119
  6. Step 6: Final answer
    x = 1,364,411.12

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.