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Finding the Third Proportional to 566,984 and 877,266

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Solution

The third proportional to 566,984 and 877,266 is: 1,357,349.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,984 : 877,266 = 877,266 : x
  2. Step 2: Convert to fraction form
    566,984/877,266 = 877,266/x
  3. Step 3: Cross multiply
    566,984x = 877,266 × 877,266
  4. Step 4: Simplify right side
    566,984x = 769,595,634,756
  5. Step 5: Solve for x
    x = 769,595,634,756/566,984
  6. Step 6: Final answer
    x = 1,357,349.83

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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.