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Finding the Third Proportional to 404,316 and 634,176

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Solution

The third proportional to 404,316 and 634,176 is: 994,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,316 : 634,176 = 634,176 : x
  2. Step 2: Convert to fraction form
    404,316/634,176 = 634,176/x
  3. Step 3: Cross multiply
    404,316x = 634,176 × 634,176
  4. Step 4: Simplify right side
    404,316x = 402,179,198,976
  5. Step 5: Solve for x
    x = 402,179,198,976/404,316
  6. Step 6: Final answer
    x = 994,715.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.