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Finding the Third Proportional to 224,580 and 485,140.50

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Solution

The third proportional to 224,580 and 485,140.50 is: 1,048,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,580 : 485,140.50 = 485,140.50 : x
  2. Step 2: Convert to fraction form
    224,580/485,140.50 = 485,140.50/x
  3. Step 3: Cross multiply
    224,580x = 485,140.50 × 485,140.50
  4. Step 4: Simplify right side
    224,580x = 235,361,304,740.25
  5. Step 5: Solve for x
    x = 235,361,304,740.25/224,580
  6. Step 6: Final answer
    x = 1,048,006.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.