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Finding the Third Proportional to 602,296 and 880,782

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Solution

The third proportional to 602,296 and 880,782 is: 1,288,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,296 : 880,782 = 880,782 : x
  2. Step 2: Convert to fraction form
    602,296/880,782 = 880,782/x
  3. Step 3: Cross multiply
    602,296x = 880,782 × 880,782
  4. Step 4: Simplify right side
    602,296x = 775,776,931,524
  5. Step 5: Solve for x
    x = 775,776,931,524/602,296
  6. Step 6: Final answer
    x = 1,288,032.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.