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Finding the Third Proportional to 224,608 and 499,040

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Solution

The third proportional to 224,608 and 499,040 is: 1,108,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,608 : 499,040 = 499,040 : x
  2. Step 2: Convert to fraction form
    224,608/499,040 = 499,040/x
  3. Step 3: Cross multiply
    224,608x = 499,040 × 499,040
  4. Step 4: Simplify right side
    224,608x = 249,040,921,600
  5. Step 5: Solve for x
    x = 249,040,921,600/224,608
  6. Step 6: Final answer
    x = 1,108,780.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.