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Finding the Third Proportional to 359,231.63 and 598,693.78

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Solution

The third proportional to 359,231.63 and 598,693.78 is: 997,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,231.63 : 598,693.78 = 598,693.78 : x
  2. Step 2: Convert to fraction form
    359,231.63/598,693.78 = 598,693.78/x
  3. Step 3: Cross multiply
    359,231.63x = 598,693.78 × 598,693.78
  4. Step 4: Simplify right side
    359,231.63x = 358,434,243,707.42
  5. Step 5: Solve for x
    x = 358,434,243,707.42/359,231.63
  6. Step 6: Final answer
    x = 997,780.31

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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.