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Finding the Third Proportional to 359,442 and 476,955

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Solution

The third proportional to 359,442 and 476,955 is: 632,886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,442 : 476,955 = 476,955 : x
  2. Step 2: Convert to fraction form
    359,442/476,955 = 476,955/x
  3. Step 3: Cross multiply
    359,442x = 476,955 × 476,955
  4. Step 4: Simplify right side
    359,442x = 227,486,072,025
  5. Step 5: Solve for x
    x = 227,486,072,025/359,442
  6. Step 6: Final answer
    x = 632,886.73

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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.