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Finding the Third Proportional to 547,084.50 and 879,008.25

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Solution

The third proportional to 547,084.50 and 879,008.25 is: 1,412,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,084.50 : 879,008.25 = 879,008.25 : x
  2. Step 2: Convert to fraction form
    547,084.50/879,008.25 = 879,008.25/x
  3. Step 3: Cross multiply
    547,084.50x = 879,008.25 × 879,008.25
  4. Step 4: Simplify right side
    547,084.50x = 772,655,503,568.06
  5. Step 5: Solve for x
    x = 772,655,503,568.06/547,084.50
  6. Step 6: Final answer
    x = 1,412,314.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.