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Finding the Third Proportional to 696,255.75 and 939,407.63

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Solution

The third proportional to 696,255.75 and 939,407.63 is: 1,267,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,255.75 : 939,407.63 = 939,407.63 : x
  2. Step 2: Convert to fraction form
    696,255.75/939,407.63 = 939,407.63/x
  3. Step 3: Cross multiply
    696,255.75x = 939,407.63 × 939,407.63
  4. Step 4: Simplify right side
    696,255.75x = 882,486,685,908.14
  5. Step 5: Solve for x
    x = 882,486,685,908.14/696,255.75
  6. Step 6: Final answer
    x = 1,267,474.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.