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Finding the Third Proportional to 578,544 and 895,686

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Solution

The third proportional to 578,544 and 895,686 is: 1,386,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,544 : 895,686 = 895,686 : x
  2. Step 2: Convert to fraction form
    578,544/895,686 = 895,686/x
  3. Step 3: Cross multiply
    578,544x = 895,686 × 895,686
  4. Step 4: Simplify right side
    578,544x = 802,253,410,596
  5. Step 5: Solve for x
    x = 802,253,410,596/578,544
  6. Step 6: Final answer
    x = 1,386,676.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.