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Finding the Third Proportional to 359,296 and 598,791

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Solution

The third proportional to 359,296 and 598,791 is: 997,925.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,296 : 598,791 = 598,791 : x
  2. Step 2: Convert to fraction form
    359,296/598,791 = 598,791/x
  3. Step 3: Cross multiply
    359,296x = 598,791 × 598,791
  4. Step 4: Simplify right side
    359,296x = 358,550,661,681
  5. Step 5: Solve for x
    x = 358,550,661,681/359,296
  6. Step 6: Final answer
    x = 997,925.56

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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.