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Finding the Third Proportional to 434,716 and 897,368

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Solution

The third proportional to 434,716 and 897,368 is: 1,852,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,716 : 897,368 = 897,368 : x
  2. Step 2: Convert to fraction form
    434,716/897,368 = 897,368/x
  3. Step 3: Cross multiply
    434,716x = 897,368 × 897,368
  4. Step 4: Simplify right side
    434,716x = 805,269,327,424
  5. Step 5: Solve for x
    x = 805,269,327,424/434,716
  6. Step 6: Final answer
    x = 1,852,403.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.