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Finding the Third Proportional to 202,207 and 437,577

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Solution

The third proportional to 202,207 and 437,577 is: 946,918.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,207 : 437,577 = 437,577 : x
  2. Step 2: Convert to fraction form
    202,207/437,577 = 437,577/x
  3. Step 3: Cross multiply
    202,207x = 437,577 × 437,577
  4. Step 4: Simplify right side
    202,207x = 191,473,630,929
  5. Step 5: Solve for x
    x = 191,473,630,929/202,207
  6. Step 6: Final answer
    x = 946,918.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.