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Finding the Third Proportional to 355,848.19 and 767,753.44

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Solution

The third proportional to 355,848.19 and 767,753.44 is: 1,656,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,848.19 : 767,753.44 = 767,753.44 : x
  2. Step 2: Convert to fraction form
    355,848.19/767,753.44 = 767,753.44/x
  3. Step 3: Cross multiply
    355,848.19x = 767,753.44 × 767,753.44
  4. Step 4: Simplify right side
    355,848.19x = 589,445,340,793.07
  5. Step 5: Solve for x
    x = 589,445,340,793.07/355,848.19
  6. Step 6: Final answer
    x = 1,656,451.72

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