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Finding the Third Proportional to 566,986 and 877,269

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Solution

The third proportional to 566,986 and 877,269 is: 1,357,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,986 : 877,269 = 877,269 : x
  2. Step 2: Convert to fraction form
    566,986/877,269 = 877,269/x
  3. Step 3: Cross multiply
    566,986x = 877,269 × 877,269
  4. Step 4: Simplify right side
    566,986x = 769,600,898,361
  5. Step 5: Solve for x
    x = 769,600,898,361/566,986
  6. Step 6: Final answer
    x = 1,357,354.32

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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.