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Finding the Third Proportional to 370,228 and 792,952

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Solution

The third proportional to 370,228 and 792,952 is: 1,698,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,228 : 792,952 = 792,952 : x
  2. Step 2: Convert to fraction form
    370,228/792,952 = 792,952/x
  3. Step 3: Cross multiply
    370,228x = 792,952 × 792,952
  4. Step 4: Simplify right side
    370,228x = 628,772,874,304
  5. Step 5: Solve for x
    x = 628,772,874,304/370,228
  6. Step 6: Final answer
    x = 1,698,339.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.