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Finding the Third Proportional to 629,864 and 956,460

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Solution

The third proportional to 629,864 and 956,460 is: 1,452,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,864 : 956,460 = 956,460 : x
  2. Step 2: Convert to fraction form
    629,864/956,460 = 956,460/x
  3. Step 3: Cross multiply
    629,864x = 956,460 × 956,460
  4. Step 4: Simplify right side
    629,864x = 914,815,731,600
  5. Step 5: Solve for x
    x = 914,815,731,600/629,864
  6. Step 6: Final answer
    x = 1,452,402.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.