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Finding the Third Proportional to 547,088 and 879,013

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Solution

The third proportional to 547,088 and 879,013 is: 1,412,320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,088 : 879,013 = 879,013 : x
  2. Step 2: Convert to fraction form
    547,088/879,013 = 879,013/x
  3. Step 3: Cross multiply
    547,088x = 879,013 × 879,013
  4. Step 4: Simplify right side
    547,088x = 772,663,854,169
  5. Step 5: Solve for x
    x = 772,663,854,169/547,088
  6. Step 6: Final answer
    x = 1,412,320.97

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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.