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Finding the Third Proportional to 531,852.75 and 798,323.25

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Solution

The third proportional to 531,852.75 and 798,323.25 is: 1,198,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,852.75 : 798,323.25 = 798,323.25 : x
  2. Step 2: Convert to fraction form
    531,852.75/798,323.25 = 798,323.25/x
  3. Step 3: Cross multiply
    531,852.75x = 798,323.25 × 798,323.25
  4. Step 4: Simplify right side
    531,852.75x = 637,320,011,490.56
  5. Step 5: Solve for x
    x = 637,320,011,490.56/531,852.75
  6. Step 6: Final answer
    x = 1,198,301.62

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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.