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Finding the Third Proportional to 499,089 and 767,910

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Solution

The third proportional to 499,089 and 767,910 is: 1,181,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,089 : 767,910 = 767,910 : x
  2. Step 2: Convert to fraction form
    499,089/767,910 = 767,910/x
  3. Step 3: Cross multiply
    499,089x = 767,910 × 767,910
  4. Step 4: Simplify right side
    499,089x = 589,685,768,100
  5. Step 5: Solve for x
    x = 589,685,768,100/499,089
  6. Step 6: Final answer
    x = 1,181,524.27

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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.