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Finding the Third Proportional to 439,218 and 642,072

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Solution

The third proportional to 439,218 and 642,072 is: 938,614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,218 : 642,072 = 642,072 : x
  2. Step 2: Convert to fraction form
    439,218/642,072 = 642,072/x
  3. Step 3: Cross multiply
    439,218x = 642,072 × 642,072
  4. Step 4: Simplify right side
    439,218x = 412,256,453,184
  5. Step 5: Solve for x
    x = 412,256,453,184/439,218
  6. Step 6: Final answer
    x = 938,614.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.