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Finding the Third Proportional to 629,359 and 967,929

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Solution

The third proportional to 629,359 and 967,929 is: 1,488,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,359 : 967,929 = 967,929 : x
  2. Step 2: Convert to fraction form
    629,359/967,929 = 967,929/x
  3. Step 3: Cross multiply
    629,359x = 967,929 × 967,929
  4. Step 4: Simplify right side
    629,359x = 936,886,549,041
  5. Step 5: Solve for x
    x = 936,886,549,041/629,359
  6. Step 6: Final answer
    x = 1,488,636.13

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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.