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Finding the Third Proportional to 369,488 and 795,952

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Solution

The third proportional to 369,488 and 795,952 is: 1,714,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,488 : 795,952 = 795,952 : x
  2. Step 2: Convert to fraction form
    369,488/795,952 = 795,952/x
  3. Step 3: Cross multiply
    369,488x = 795,952 × 795,952
  4. Step 4: Simplify right side
    369,488x = 633,539,586,304
  5. Step 5: Solve for x
    x = 633,539,586,304/369,488
  6. Step 6: Final answer
    x = 1,714,641.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.