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Finding the Third Proportional to 244,501 and 374,017

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Solution

The third proportional to 244,501 and 374,017 is: 572,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,501 : 374,017 = 374,017 : x
  2. Step 2: Convert to fraction form
    244,501/374,017 = 374,017/x
  3. Step 3: Cross multiply
    244,501x = 374,017 × 374,017
  4. Step 4: Simplify right side
    244,501x = 139,888,716,289
  5. Step 5: Solve for x
    x = 139,888,716,289/244,501
  6. Step 6: Final answer
    x = 572,139.65

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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.