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Finding the Third Proportional to 389,628 and 699,714

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Solution

The third proportional to 389,628 and 699,714 is: 1,256,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,628 : 699,714 = 699,714 : x
  2. Step 2: Convert to fraction form
    389,628/699,714 = 699,714/x
  3. Step 3: Cross multiply
    389,628x = 699,714 × 699,714
  4. Step 4: Simplify right side
    389,628x = 489,599,681,796
  5. Step 5: Solve for x
    x = 489,599,681,796/389,628
  6. Step 6: Final answer
    x = 1,256,582.39

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.