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Finding the Third Proportional to 438,196.63 and 655,543.37

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Solution

The third proportional to 438,196.63 and 655,543.37 is: 980,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,196.63 : 655,543.37 = 655,543.37 : x
  2. Step 2: Convert to fraction form
    438,196.63/655,543.37 = 655,543.37/x
  3. Step 3: Cross multiply
    438,196.63x = 655,543.37 × 655,543.37
  4. Step 4: Simplify right side
    438,196.63x = 429,737,112,825.38
  5. Step 5: Solve for x
    x = 429,737,112,825.38/438,196.63
  6. Step 6: Final answer
    x = 980,694.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.