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Finding the Third Proportional to 629,412 and 968,006.25

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Solution

The third proportional to 629,412 and 968,006.25 is: 1,488,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,412 : 968,006.25 = 968,006.25 : x
  2. Step 2: Convert to fraction form
    629,412/968,006.25 = 968,006.25/x
  3. Step 3: Cross multiply
    629,412x = 968,006.25 × 968,006.25
  4. Step 4: Simplify right side
    629,412x = 937,036,100,039.06
  5. Step 5: Solve for x
    x = 937,036,100,039.06/629,412
  6. Step 6: Final answer
    x = 1,488,748.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.