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Finding the Third Proportional to 611,084.25 and 798,437.25

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Solution

The third proportional to 611,084.25 and 798,437.25 is: 1,043,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,084.25 : 798,437.25 = 798,437.25 : x
  2. Step 2: Convert to fraction form
    611,084.25/798,437.25 = 798,437.25/x
  3. Step 3: Cross multiply
    611,084.25x = 798,437.25 × 798,437.25
  4. Step 4: Simplify right side
    611,084.25x = 637,502,042,187.56
  5. Step 5: Solve for x
    x = 637,502,042,187.56/611,084.25
  6. Step 6: Final answer
    x = 1,043,231.01

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.