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Finding the Third Proportional to 566,914 and 877,756

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Solution

The third proportional to 566,914 and 877,756 is: 1,359,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,914 : 877,756 = 877,756 : x
  2. Step 2: Convert to fraction form
    566,914/877,756 = 877,756/x
  3. Step 3: Cross multiply
    566,914x = 877,756 × 877,756
  4. Step 4: Simplify right side
    566,914x = 770,455,595,536
  5. Step 5: Solve for x
    x = 770,455,595,536/566,914
  6. Step 6: Final answer
    x = 1,359,034.34

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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.