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Finding the Third Proportional to 352,298.74 and 771,927.94

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Solution

The third proportional to 352,298.74 and 771,927.94 is: 1,691,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,298.74 : 771,927.94 = 771,927.94 : x
  2. Step 2: Convert to fraction form
    352,298.74/771,927.94 = 771,927.94/x
  3. Step 3: Cross multiply
    352,298.74x = 771,927.94 × 771,927.94
  4. Step 4: Simplify right side
    352,298.74x = 595,872,749,739.04
  5. Step 5: Solve for x
    x = 595,872,749,739.04/352,298.74
  6. Step 6: Final answer
    x = 1,691,384.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.