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Finding the Third Proportional to 359,234 and 598,697

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Solution

The third proportional to 359,234 and 598,697 is: 997,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,234 : 598,697 = 598,697 : x
  2. Step 2: Convert to fraction form
    359,234/598,697 = 598,697/x
  3. Step 3: Cross multiply
    359,234x = 598,697 × 598,697
  4. Step 4: Simplify right side
    359,234x = 358,438,097,809
  5. Step 5: Solve for x
    x = 358,438,097,809/359,234
  6. Step 6: Final answer
    x = 997,784.45

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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.