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Finding the Third Proportional to 333,707.58 and 516,563.42

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Solution

The third proportional to 333,707.58 and 516,563.42 is: 799,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,707.58 : 516,563.42 = 516,563.42 : x
  2. Step 2: Convert to fraction form
    333,707.58/516,563.42 = 516,563.42/x
  3. Step 3: Cross multiply
    333,707.58x = 516,563.42 × 516,563.42
  4. Step 4: Simplify right side
    333,707.58x = 266,837,766,801.41
  5. Step 5: Solve for x
    x = 266,837,766,801.41/333,707.58
  6. Step 6: Final answer
    x = 799,615.54

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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.