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Finding the Third Proportional to 377,807.63 and 585,010.69

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Solution

The third proportional to 377,807.63 and 585,010.69 is: 905,851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,807.63 : 585,010.69 = 585,010.69 : x
  2. Step 2: Convert to fraction form
    377,807.63/585,010.69 = 585,010.69/x
  3. Step 3: Cross multiply
    377,807.63x = 585,010.69 × 585,010.69
  4. Step 4: Simplify right side
    377,807.63x = 342,237,504,489.22
  5. Step 5: Solve for x
    x = 342,237,504,489.22/377,807.63
  6. Step 6: Final answer
    x = 905,851.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.