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Finding the Third Proportional to 388,823 and 634,913

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Solution

The third proportional to 388,823 and 634,913 is: 1,036,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,823 : 634,913 = 634,913 : x
  2. Step 2: Convert to fraction form
    388,823/634,913 = 634,913/x
  3. Step 3: Cross multiply
    388,823x = 634,913 × 634,913
  4. Step 4: Simplify right side
    388,823x = 403,114,517,569
  5. Step 5: Solve for x
    x = 403,114,517,569/388,823
  6. Step 6: Final answer
    x = 1,036,755.84

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.