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Finding the Third Proportional to 656,193 and 938,352

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Solution

The third proportional to 656,193 and 938,352 is: 1,341,837.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,193 : 938,352 = 938,352 : x
  2. Step 2: Convert to fraction form
    656,193/938,352 = 938,352/x
  3. Step 3: Cross multiply
    656,193x = 938,352 × 938,352
  4. Step 4: Simplify right side
    656,193x = 880,504,475,904
  5. Step 5: Solve for x
    x = 880,504,475,904/656,193
  6. Step 6: Final answer
    x = 1,341,837.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.