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Finding the Third Proportional to 259,476 and 552,432

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Solution

The third proportional to 259,476 and 552,432 is: 1,176,143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,476 : 552,432 = 552,432 : x
  2. Step 2: Convert to fraction form
    259,476/552,432 = 552,432/x
  3. Step 3: Cross multiply
    259,476x = 552,432 × 552,432
  4. Step 4: Simplify right side
    259,476x = 305,181,114,624
  5. Step 5: Solve for x
    x = 305,181,114,624/259,476
  6. Step 6: Final answer
    x = 1,176,143.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.