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Finding the Third Proportional to 482,661 and 730,219.50

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Solution

The third proportional to 482,661 and 730,219.50 is: 1,104,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,661 : 730,219.50 = 730,219.50 : x
  2. Step 2: Convert to fraction form
    482,661/730,219.50 = 730,219.50/x
  3. Step 3: Cross multiply
    482,661x = 730,219.50 × 730,219.50
  4. Step 4: Simplify right side
    482,661x = 533,220,518,180.25
  5. Step 5: Solve for x
    x = 533,220,518,180.25/482,661
  6. Step 6: Final answer
    x = 1,104,751.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.