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Finding the Third Proportional to 359,232 and 598,695

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Solution

The third proportional to 359,232 and 598,695 is: 997,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,232 : 598,695 = 598,695 : x
  2. Step 2: Convert to fraction form
    359,232/598,695 = 598,695/x
  3. Step 3: Cross multiply
    359,232x = 598,695 × 598,695
  4. Step 4: Simplify right side
    359,232x = 358,435,703,025
  5. Step 5: Solve for x
    x = 358,435,703,025/359,232
  6. Step 6: Final answer
    x = 997,783.34

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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.