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Finding the Third Proportional to 535,356 and 782,919

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Solution

The third proportional to 535,356 and 782,919 is: 1,144,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,356 : 782,919 = 782,919 : x
  2. Step 2: Convert to fraction form
    535,356/782,919 = 782,919/x
  3. Step 3: Cross multiply
    535,356x = 782,919 × 782,919
  4. Step 4: Simplify right side
    535,356x = 612,962,160,561
  5. Step 5: Solve for x
    x = 612,962,160,561/535,356
  6. Step 6: Final answer
    x = 1,144,961.78

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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.