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Finding the Third Proportional to 436,203 and 639,927

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Solution

The third proportional to 436,203 and 639,927 is: 938,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,203 : 639,927 = 639,927 : x
  2. Step 2: Convert to fraction form
    436,203/639,927 = 639,927/x
  3. Step 3: Cross multiply
    436,203x = 639,927 × 639,927
  4. Step 4: Simplify right side
    436,203x = 409,506,565,329
  5. Step 5: Solve for x
    x = 409,506,565,329/436,203
  6. Step 6: Final answer
    x = 938,798.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.