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Finding the Third Proportional to 516,984.75 and 744,615.75

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Solution

The third proportional to 516,984.75 and 744,615.75 is: 1,072,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,984.75 : 744,615.75 = 744,615.75 : x
  2. Step 2: Convert to fraction form
    516,984.75/744,615.75 = 744,615.75/x
  3. Step 3: Cross multiply
    516,984.75x = 744,615.75 × 744,615.75
  4. Step 4: Simplify right side
    516,984.75x = 554,452,615,148.06
  5. Step 5: Solve for x
    x = 554,452,615,148.06/516,984.75
  6. Step 6: Final answer
    x = 1,072,473.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.