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Finding the Third Proportional to 383,011.50 and 536,710.50

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Solution

The third proportional to 383,011.50 and 536,710.50 is: 752,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,011.50 : 536,710.50 = 536,710.50 : x
  2. Step 2: Convert to fraction form
    383,011.50/536,710.50 = 536,710.50/x
  3. Step 3: Cross multiply
    383,011.50x = 536,710.50 × 536,710.50
  4. Step 4: Simplify right side
    383,011.50x = 288,058,160,810.25
  5. Step 5: Solve for x
    x = 288,058,160,810.25/383,011.50
  6. Step 6: Final answer
    x = 752,087.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.