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Finding the Third Proportional to 568,026 and 830,069

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Solution

The third proportional to 568,026 and 830,069 is: 1,212,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,026 : 830,069 = 830,069 : x
  2. Step 2: Convert to fraction form
    568,026/830,069 = 830,069/x
  3. Step 3: Cross multiply
    568,026x = 830,069 × 830,069
  4. Step 4: Simplify right side
    568,026x = 689,014,544,761
  5. Step 5: Solve for x
    x = 689,014,544,761/568,026
  6. Step 6: Final answer
    x = 1,212,998.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.