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Finding the Third Proportional to 560,484 and 846,540

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Solution

The third proportional to 560,484 and 846,540 is: 1,278,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,484 : 846,540 = 846,540 : x
  2. Step 2: Convert to fraction form
    560,484/846,540 = 846,540/x
  3. Step 3: Cross multiply
    560,484x = 846,540 × 846,540
  4. Step 4: Simplify right side
    560,484x = 716,629,971,600
  5. Step 5: Solve for x
    x = 716,629,971,600/560,484
  6. Step 6: Final answer
    x = 1,278,591.31

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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.