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Finding the Third Proportional to 398,454 and 599,184

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Solution

The third proportional to 398,454 and 599,184 is: 901,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,454 : 599,184 = 599,184 : x
  2. Step 2: Convert to fraction form
    398,454/599,184 = 599,184/x
  3. Step 3: Cross multiply
    398,454x = 599,184 × 599,184
  4. Step 4: Simplify right side
    398,454x = 359,021,465,856
  5. Step 5: Solve for x
    x = 359,021,465,856/398,454
  6. Step 6: Final answer
    x = 901,036.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.