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Finding the Third Proportional to 435,360 and 659,613

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Solution

The third proportional to 435,360 and 659,613 is: 999,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,360 : 659,613 = 659,613 : x
  2. Step 2: Convert to fraction form
    435,360/659,613 = 659,613/x
  3. Step 3: Cross multiply
    435,360x = 659,613 × 659,613
  4. Step 4: Simplify right side
    435,360x = 435,089,309,769
  5. Step 5: Solve for x
    x = 435,089,309,769/435,360
  6. Step 6: Final answer
    x = 999,378.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.