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Finding the Third Proportional to 272,706.75 and 596,200.50

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Solution

The third proportional to 272,706.75 and 596,200.50 is: 1,303,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,706.75 : 596,200.50 = 596,200.50 : x
  2. Step 2: Convert to fraction form
    272,706.75/596,200.50 = 596,200.50/x
  3. Step 3: Cross multiply
    272,706.75x = 596,200.50 × 596,200.50
  4. Step 4: Simplify right side
    272,706.75x = 355,455,036,200.25
  5. Step 5: Solve for x
    x = 355,455,036,200.25/272,706.75
  6. Step 6: Final answer
    x = 1,303,433.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.