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Finding the Third Proportional to 344,095 and 809,681

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Solution

The third proportional to 344,095 and 809,681 is: 1,905,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,095 : 809,681 = 809,681 : x
  2. Step 2: Convert to fraction form
    344,095/809,681 = 809,681/x
  3. Step 3: Cross multiply
    344,095x = 809,681 × 809,681
  4. Step 4: Simplify right side
    344,095x = 655,583,321,761
  5. Step 5: Solve for x
    x = 655,583,321,761/344,095
  6. Step 6: Final answer
    x = 1,905,239.31

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.