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Finding the Third Proportional to 362,224 and 786,721

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Solution

The third proportional to 362,224 and 786,721 is: 1,708,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,224 : 786,721 = 786,721 : x
  2. Step 2: Convert to fraction form
    362,224/786,721 = 786,721/x
  3. Step 3: Cross multiply
    362,224x = 786,721 × 786,721
  4. Step 4: Simplify right side
    362,224x = 618,929,931,841
  5. Step 5: Solve for x
    x = 618,929,931,841/362,224
  6. Step 6: Final answer
    x = 1,708,693.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.