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Finding the Third Proportional to 244,768 and 374,396

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Solution

The third proportional to 244,768 and 374,396 is: 572,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,768 : 374,396 = 374,396 : x
  2. Step 2: Convert to fraction form
    244,768/374,396 = 374,396/x
  3. Step 3: Cross multiply
    244,768x = 374,396 × 374,396
  4. Step 4: Simplify right side
    244,768x = 140,172,364,816
  5. Step 5: Solve for x
    x = 140,172,364,816/244,768
  6. Step 6: Final answer
    x = 572,674.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.