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Finding the Third Proportional to 407,958 and 573,480

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Solution

The third proportional to 407,958 and 573,480 is: 806,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,958 : 573,480 = 573,480 : x
  2. Step 2: Convert to fraction form
    407,958/573,480 = 573,480/x
  3. Step 3: Cross multiply
    407,958x = 573,480 × 573,480
  4. Step 4: Simplify right side
    407,958x = 328,879,310,400
  5. Step 5: Solve for x
    x = 328,879,310,400/407,958
  6. Step 6: Final answer
    x = 806,159.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.