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Finding the Third Proportional to 359,346 and 598,932

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Solution

The third proportional to 359,346 and 598,932 is: 998,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,346 : 598,932 = 598,932 : x
  2. Step 2: Convert to fraction form
    359,346/598,932 = 598,932/x
  3. Step 3: Cross multiply
    359,346x = 598,932 × 598,932
  4. Step 4: Simplify right side
    359,346x = 358,719,540,624
  5. Step 5: Solve for x
    x = 358,719,540,624/359,346
  6. Step 6: Final answer
    x = 998,256.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.