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Finding the Third Proportional to 359,336 and 598,844

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Solution

The third proportional to 359,336 and 598,844 is: 997,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,336 : 598,844 = 598,844 : x
  2. Step 2: Convert to fraction form
    359,336/598,844 = 598,844/x
  3. Step 3: Cross multiply
    359,336x = 598,844 × 598,844
  4. Step 4: Simplify right side
    359,336x = 358,614,136,336
  5. Step 5: Solve for x
    x = 358,614,136,336/359,336
  6. Step 6: Final answer
    x = 997,991.12

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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.