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Finding the Third Proportional to 404,048 and 598,260

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Solution

The third proportional to 404,048 and 598,260 is: 885,823.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,048 : 598,260 = 598,260 : x
  2. Step 2: Convert to fraction form
    404,048/598,260 = 598,260/x
  3. Step 3: Cross multiply
    404,048x = 598,260 × 598,260
  4. Step 4: Simplify right side
    404,048x = 357,915,027,600
  5. Step 5: Solve for x
    x = 357,915,027,600/404,048
  6. Step 6: Final answer
    x = 885,823.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.