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Finding the Third Proportional to 407,204 and 634,072

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Solution

The third proportional to 407,204 and 634,072 is: 987,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,204 : 634,072 = 634,072 : x
  2. Step 2: Convert to fraction form
    407,204/634,072 = 634,072/x
  3. Step 3: Cross multiply
    407,204x = 634,072 × 634,072
  4. Step 4: Simplify right side
    407,204x = 402,047,301,184
  5. Step 5: Solve for x
    x = 402,047,301,184/407,204
  6. Step 6: Final answer
    x = 987,336.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.