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Finding the Third Proportional to 357,835.06 and 771,716.27

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Solution

The third proportional to 357,835.06 and 771,716.27 is: 1,664,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,835.06 : 771,716.27 = 771,716.27 : x
  2. Step 2: Convert to fraction form
    357,835.06/771,716.27 = 771,716.27/x
  3. Step 3: Cross multiply
    357,835.06x = 771,716.27 × 771,716.27
  4. Step 4: Simplify right side
    357,835.06x = 595,545,997,644.71
  5. Step 5: Solve for x
    x = 595,545,997,644.71/357,835.06
  6. Step 6: Final answer
    x = 1,664,303.09

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Why These Related Problems?

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