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Finding the Third Proportional to 395,856 and 830,596

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Solution

The third proportional to 395,856 and 830,596 is: 1,742,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,856 : 830,596 = 830,596 : x
  2. Step 2: Convert to fraction form
    395,856/830,596 = 830,596/x
  3. Step 3: Cross multiply
    395,856x = 830,596 × 830,596
  4. Step 4: Simplify right side
    395,856x = 689,889,715,216
  5. Step 5: Solve for x
    x = 689,889,715,216/395,856
  6. Step 6: Final answer
    x = 1,742,779.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.