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Finding the Third Proportional to 202,422 and 435,984

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Solution

The third proportional to 202,422 and 435,984 is: 939,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,422 : 435,984 = 435,984 : x
  2. Step 2: Convert to fraction form
    202,422/435,984 = 435,984/x
  3. Step 3: Cross multiply
    202,422x = 435,984 × 435,984
  4. Step 4: Simplify right side
    202,422x = 190,082,048,256
  5. Step 5: Solve for x
    x = 190,082,048,256/202,422
  6. Step 6: Final answer
    x = 939,038.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.