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Finding the Third Proportional to 359,295.75 and 598,791.38

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Solution

The third proportional to 359,295.75 and 598,791.38 is: 997,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,295.75 : 598,791.38 = 598,791.38 : x
  2. Step 2: Convert to fraction form
    359,295.75/598,791.38 = 598,791.38/x
  3. Step 3: Cross multiply
    359,295.75x = 598,791.38 × 598,791.38
  4. Step 4: Simplify right side
    359,295.75x = 358,551,110,774.39
  5. Step 5: Solve for x
    x = 358,551,110,774.39/359,295.75
  6. Step 6: Final answer
    x = 997,927.50

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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.