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Finding the Third Proportional to 531,810.56 and 798,087.94

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Solution

The third proportional to 531,810.56 and 798,087.94 is: 1,197,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,810.56 : 798,087.94 = 798,087.94 : x
  2. Step 2: Convert to fraction form
    531,810.56/798,087.94 = 798,087.94/x
  3. Step 3: Cross multiply
    531,810.56x = 798,087.94 × 798,087.94
  4. Step 4: Simplify right side
    531,810.56x = 636,944,355,983.00
  5. Step 5: Solve for x
    x = 636,944,355,983.00/531,810.56
  6. Step 6: Final answer
    x = 1,197,690.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.