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Finding the Third Proportional to 395,841 and 830,559

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Solution

The third proportional to 395,841 and 830,559 is: 1,742,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,841 : 830,559 = 830,559 : x
  2. Step 2: Convert to fraction form
    395,841/830,559 = 830,559/x
  3. Step 3: Cross multiply
    395,841x = 830,559 × 830,559
  4. Step 4: Simplify right side
    395,841x = 689,828,252,481
  5. Step 5: Solve for x
    x = 689,828,252,481/395,841
  6. Step 6: Final answer
    x = 1,742,690.25

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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.