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Finding the Third Proportional to 359,294 and 598,846

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Solution

The third proportional to 359,294 and 598,846 is: 998,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,294 : 598,846 = 598,846 : x
  2. Step 2: Convert to fraction form
    359,294/598,846 = 598,846/x
  3. Step 3: Cross multiply
    359,294x = 598,846 × 598,846
  4. Step 4: Simplify right side
    359,294x = 358,616,531,716
  5. Step 5: Solve for x
    x = 358,616,531,716/359,294
  6. Step 6: Final answer
    x = 998,114.45

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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.