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Finding the Third Proportional to 367,689.38 and 577,762.88

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Solution

The third proportional to 367,689.38 and 577,762.88 is: 907,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,689.38 : 577,762.88 = 577,762.88 : x
  2. Step 2: Convert to fraction form
    367,689.38/577,762.88 = 577,762.88/x
  3. Step 3: Cross multiply
    367,689.38x = 577,762.88 × 577,762.88
  4. Step 4: Simplify right side
    367,689.38x = 333,809,939,728.27
  5. Step 5: Solve for x
    x = 333,809,939,728.27/367,689.38
  6. Step 6: Final answer
    x = 907,858.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.