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Finding the Third Proportional to 350,789 and 771,562

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Solution

The third proportional to 350,789 and 771,562 is: 1,697,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,789 : 771,562 = 771,562 : x
  2. Step 2: Convert to fraction form
    350,789/771,562 = 771,562/x
  3. Step 3: Cross multiply
    350,789x = 771,562 × 771,562
  4. Step 4: Simplify right side
    350,789x = 595,307,919,844
  5. Step 5: Solve for x
    x = 595,307,919,844/350,789
  6. Step 6: Final answer
    x = 1,697,054.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.