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Finding the Third Proportional to 377,833.50 and 575,770.50

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Solution

The third proportional to 377,833.50 and 575,770.50 is: 877,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,833.50 : 575,770.50 = 575,770.50 : x
  2. Step 2: Convert to fraction form
    377,833.50/575,770.50 = 575,770.50/x
  3. Step 3: Cross multiply
    377,833.50x = 575,770.50 × 575,770.50
  4. Step 4: Simplify right side
    377,833.50x = 331,511,668,670.25
  5. Step 5: Solve for x
    x = 331,511,668,670.25/377,833.50
  6. Step 6: Final answer
    x = 877,401.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.