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Finding the Third Proportional to 359,352 and 598,868

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Solution

The third proportional to 359,352 and 598,868 is: 998,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,352 : 598,868 = 598,868 : x
  2. Step 2: Convert to fraction form
    359,352/598,868 = 598,868/x
  3. Step 3: Cross multiply
    359,352x = 598,868 × 598,868
  4. Step 4: Simplify right side
    359,352x = 358,642,881,424
  5. Step 5: Solve for x
    x = 358,642,881,424/359,352
  6. Step 6: Final answer
    x = 998,026.67

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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.