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Finding the Third Proportional to 463,272 and 690,859

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Solution

The third proportional to 463,272 and 690,859 is: 1,030,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,272 : 690,859 = 690,859 : x
  2. Step 2: Convert to fraction form
    463,272/690,859 = 690,859/x
  3. Step 3: Cross multiply
    463,272x = 690,859 × 690,859
  4. Step 4: Simplify right side
    463,272x = 477,286,157,881
  5. Step 5: Solve for x
    x = 477,286,157,881/463,272
  6. Step 6: Final answer
    x = 1,030,250.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.