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Finding the Third Proportional to 203,963 and 435,952

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Solution

The third proportional to 203,963 and 435,952 is: 931,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,963 : 435,952 = 435,952 : x
  2. Step 2: Convert to fraction form
    203,963/435,952 = 435,952/x
  3. Step 3: Cross multiply
    203,963x = 435,952 × 435,952
  4. Step 4: Simplify right side
    203,963x = 190,054,146,304
  5. Step 5: Solve for x
    x = 190,054,146,304/203,963
  6. Step 6: Final answer
    x = 931,806.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.