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Finding the Third Proportional to 362,502 and 551,433

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Solution

The third proportional to 362,502 and 551,433 is: 838,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,502 : 551,433 = 551,433 : x
  2. Step 2: Convert to fraction form
    362,502/551,433 = 551,433/x
  3. Step 3: Cross multiply
    362,502x = 551,433 × 551,433
  4. Step 4: Simplify right side
    362,502x = 304,078,353,489
  5. Step 5: Solve for x
    x = 304,078,353,489/362,502
  6. Step 6: Final answer
    x = 838,832.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.