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Finding the Third Proportional to 407,017.41 and 598,331.39

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Solution

The third proportional to 407,017.41 and 598,331.39 is: 879,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,017.41 : 598,331.39 = 598,331.39 : x
  2. Step 2: Convert to fraction form
    407,017.41/598,331.39 = 598,331.39/x
  3. Step 3: Cross multiply
    407,017.41x = 598,331.39 × 598,331.39
  4. Step 4: Simplify right side
    407,017.41x = 358,000,453,007.25
  5. Step 5: Solve for x
    x = 358,000,453,007.25/407,017.41
  6. Step 6: Final answer
    x = 879,570.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.