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Finding the Third Proportional to 359,284 and 598,830

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Solution

The third proportional to 359,284 and 598,830 is: 998,088.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,284 : 598,830 = 598,830 : x
  2. Step 2: Convert to fraction form
    359,284/598,830 = 598,830/x
  3. Step 3: Cross multiply
    359,284x = 598,830 × 598,830
  4. Step 4: Simplify right side
    359,284x = 358,597,368,900
  5. Step 5: Solve for x
    x = 358,597,368,900/359,284
  6. Step 6: Final answer
    x = 998,088.89

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