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Finding the Third Proportional to 224,730 and 494,658

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Solution

The third proportional to 224,730 and 494,658 is: 1,088,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,730 : 494,658 = 494,658 : x
  2. Step 2: Convert to fraction form
    224,730/494,658 = 494,658/x
  3. Step 3: Cross multiply
    224,730x = 494,658 × 494,658
  4. Step 4: Simplify right side
    224,730x = 244,686,536,964
  5. Step 5: Solve for x
    x = 244,686,536,964/224,730
  6. Step 6: Final answer
    x = 1,088,802.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.