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Finding the Third Proportional to 436,231.69 and 651,742.88

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Solution

The third proportional to 436,231.69 and 651,742.88 is: 973,722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,231.69 : 651,742.88 = 651,742.88 : x
  2. Step 2: Convert to fraction form
    436,231.69/651,742.88 = 651,742.88/x
  3. Step 3: Cross multiply
    436,231.69x = 651,742.88 × 651,742.88
  4. Step 4: Simplify right side
    436,231.69x = 424,768,775,113.27
  5. Step 5: Solve for x
    x = 424,768,775,113.27/436,231.69
  6. Step 6: Final answer
    x = 973,722.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.