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Finding the Third Proportional to 473,463 and 637,902

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Solution

The third proportional to 473,463 and 637,902 is: 859,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,463 : 637,902 = 637,902 : x
  2. Step 2: Convert to fraction form
    473,463/637,902 = 637,902/x
  3. Step 3: Cross multiply
    473,463x = 637,902 × 637,902
  4. Step 4: Simplify right side
    473,463x = 406,918,961,604
  5. Step 5: Solve for x
    x = 406,918,961,604/473,463
  6. Step 6: Final answer
    x = 859,452.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.