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Finding the Third Proportional to 579,843 and 877,785

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Solution

The third proportional to 579,843 and 877,785 is: 1,328,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,843 : 877,785 = 877,785 : x
  2. Step 2: Convert to fraction form
    579,843/877,785 = 877,785/x
  3. Step 3: Cross multiply
    579,843x = 877,785 × 877,785
  4. Step 4: Simplify right side
    579,843x = 770,506,506,225
  5. Step 5: Solve for x
    x = 770,506,506,225/579,843
  6. Step 6: Final answer
    x = 1,328,819.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.