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Finding the Third Proportional to 224,430 and 489,036

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Solution

The third proportional to 224,430 and 489,036 is: 1,065,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,430 : 489,036 = 489,036 : x
  2. Step 2: Convert to fraction form
    224,430/489,036 = 489,036/x
  3. Step 3: Cross multiply
    224,430x = 489,036 × 489,036
  4. Step 4: Simplify right side
    224,430x = 239,156,209,296
  5. Step 5: Solve for x
    x = 239,156,209,296/224,430
  6. Step 6: Final answer
    x = 1,065,616.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.