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Finding the Third Proportional to 364,072 and 798,127.75

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Solution

The third proportional to 364,072 and 798,127.75 is: 1,749,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,072 : 798,127.75 = 798,127.75 : x
  2. Step 2: Convert to fraction form
    364,072/798,127.75 = 798,127.75/x
  3. Step 3: Cross multiply
    364,072x = 798,127.75 × 798,127.75
  4. Step 4: Simplify right side
    364,072x = 637,007,905,320.06
  5. Step 5: Solve for x
    x = 637,007,905,320.06/364,072
  6. Step 6: Final answer
    x = 1,749,675.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.