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Finding the Third Proportional to 343,615.50 and 569,404.69

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Solution

The third proportional to 343,615.50 and 569,404.69 is: 943,559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,615.50 : 569,404.69 = 569,404.69 : x
  2. Step 2: Convert to fraction form
    343,615.50/569,404.69 = 569,404.69/x
  3. Step 3: Cross multiply
    343,615.50x = 569,404.69 × 569,404.69
  4. Step 4: Simplify right side
    343,615.50x = 324,221,698,146.97
  5. Step 5: Solve for x
    x = 324,221,698,146.97/343,615.50
  6. Step 6: Final answer
    x = 943,559.58

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.