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Finding the Third Proportional to 514,998 and 795,852

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Solution

The third proportional to 514,998 and 795,852 is: 1,229,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,998 : 795,852 = 795,852 : x
  2. Step 2: Convert to fraction form
    514,998/795,852 = 795,852/x
  3. Step 3: Cross multiply
    514,998x = 795,852 × 795,852
  4. Step 4: Simplify right side
    514,998x = 633,380,405,904
  5. Step 5: Solve for x
    x = 633,380,405,904/514,998
  6. Step 6: Final answer
    x = 1,229,869.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.