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Finding the Third Proportional to 370,233 and 798,048

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Solution

The third proportional to 370,233 and 798,048 is: 1,720,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,233 : 798,048 = 798,048 : x
  2. Step 2: Convert to fraction form
    370,233/798,048 = 798,048/x
  3. Step 3: Cross multiply
    370,233x = 798,048 × 798,048
  4. Step 4: Simplify right side
    370,233x = 636,880,610,304
  5. Step 5: Solve for x
    x = 636,880,610,304/370,233
  6. Step 6: Final answer
    x = 1,720,215.68

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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.