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Finding the Third Proportional to 560,364 and 846,378

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Solution

The third proportional to 560,364 and 846,378 is: 1,278,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,364 : 846,378 = 846,378 : x
  2. Step 2: Convert to fraction form
    560,364/846,378 = 846,378/x
  3. Step 3: Cross multiply
    560,364x = 846,378 × 846,378
  4. Step 4: Simplify right side
    560,364x = 716,355,718,884
  5. Step 5: Solve for x
    x = 716,355,718,884/560,364
  6. Step 6: Final answer
    x = 1,278,375.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.