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Finding the Third Proportional to 560,496 and 846,558

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Solution

The third proportional to 560,496 and 846,558 is: 1,278,618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,496 : 846,558 = 846,558 : x
  2. Step 2: Convert to fraction form
    560,496/846,558 = 846,558/x
  3. Step 3: Cross multiply
    560,496x = 846,558 × 846,558
  4. Step 4: Simplify right side
    560,496x = 716,660,447,364
  5. Step 5: Solve for x
    x = 716,660,447,364/560,496
  6. Step 6: Final answer
    x = 1,278,618.31

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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.