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Finding the Third Proportional to 301,544 and 634,084

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Solution

The third proportional to 301,544 and 634,084 is: 1,333,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,544 : 634,084 = 634,084 : x
  2. Step 2: Convert to fraction form
    301,544/634,084 = 634,084/x
  3. Step 3: Cross multiply
    301,544x = 634,084 × 634,084
  4. Step 4: Simplify right side
    301,544x = 402,062,519,056
  5. Step 5: Solve for x
    x = 402,062,519,056/301,544
  6. Step 6: Final answer
    x = 1,333,346.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.