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Finding the Third Proportional to 696,274.88 and 939,434.63

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Solution

The third proportional to 696,274.88 and 939,434.63 is: 1,267,512.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,274.88 : 939,434.63 = 939,434.63 : x
  2. Step 2: Convert to fraction form
    696,274.88/939,434.63 = 939,434.63/x
  3. Step 3: Cross multiply
    696,274.88x = 939,434.63 × 939,434.63
  4. Step 4: Simplify right side
    696,274.88x = 882,537,414,648.89
  5. Step 5: Solve for x
    x = 882,537,414,648.89/696,274.88
  6. Step 6: Final answer
    x = 1,267,512.94

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