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Finding the Third Proportional to 359,277.75 and 598,765.50

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Solution

The third proportional to 359,277.75 and 598,765.50 is: 997,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,277.75 : 598,765.50 = 598,765.50 : x
  2. Step 2: Convert to fraction form
    359,277.75/598,765.50 = 598,765.50/x
  3. Step 3: Cross multiply
    359,277.75x = 598,765.50 × 598,765.50
  4. Step 4: Simplify right side
    359,277.75x = 358,520,123,990.25
  5. Step 5: Solve for x
    x = 358,520,123,990.25/359,277.75
  6. Step 6: Final answer
    x = 997,891.25

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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.