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Finding the Third Proportional to 359,460 and 476,982

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Solution

The third proportional to 359,460 and 476,982 is: 632,926.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,460 : 476,982 = 476,982 : x
  2. Step 2: Convert to fraction form
    359,460/476,982 = 476,982/x
  3. Step 3: Cross multiply
    359,460x = 476,982 × 476,982
  4. Step 4: Simplify right side
    359,460x = 227,511,828,324
  5. Step 5: Solve for x
    x = 227,511,828,324/359,460
  6. Step 6: Final answer
    x = 632,926.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.