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Finding the Third Proportional to 370,245 and 798,072

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Solution

The third proportional to 370,245 and 798,072 is: 1,720,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,245 : 798,072 = 798,072 : x
  2. Step 2: Convert to fraction form
    370,245/798,072 = 798,072/x
  3. Step 3: Cross multiply
    370,245x = 798,072 × 798,072
  4. Step 4: Simplify right side
    370,245x = 636,918,917,184
  5. Step 5: Solve for x
    x = 636,918,917,184/370,245
  6. Step 6: Final answer
    x = 1,720,263.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.