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Finding the Third Proportional to 228,227 and 492,541

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Solution

The third proportional to 228,227 and 492,541 is: 1,062,962.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,227 : 492,541 = 492,541 : x
  2. Step 2: Convert to fraction form
    228,227/492,541 = 492,541/x
  3. Step 3: Cross multiply
    228,227x = 492,541 × 492,541
  4. Step 4: Simplify right side
    228,227x = 242,596,636,681
  5. Step 5: Solve for x
    x = 242,596,636,681/228,227
  6. Step 6: Final answer
    x = 1,062,962.04

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Why These Related Problems?

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