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Finding the Third Proportional to 369,714.38 and 795,470.63

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Solution

The third proportional to 369,714.38 and 795,470.63 is: 1,711,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,714.38 : 795,470.63 = 795,470.63 : x
  2. Step 2: Convert to fraction form
    369,714.38/795,470.63 = 795,470.63/x
  3. Step 3: Cross multiply
    369,714.38x = 795,470.63 × 795,470.63
  4. Step 4: Simplify right side
    369,714.38x = 632,773,515,237.89
  5. Step 5: Solve for x
    x = 632,773,515,237.89/369,714.38
  6. Step 6: Final answer
    x = 1,711,519.91

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