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Finding the Third Proportional to 397,665 and 602,286

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Solution

The third proportional to 397,665 and 602,286 is: 912,196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,665 : 602,286 = 602,286 : x
  2. Step 2: Convert to fraction form
    397,665/602,286 = 602,286/x
  3. Step 3: Cross multiply
    397,665x = 602,286 × 602,286
  4. Step 4: Simplify right side
    397,665x = 362,748,425,796
  5. Step 5: Solve for x
    x = 362,748,425,796/397,665
  6. Step 6: Final answer
    x = 912,196.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.