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Finding the Third Proportional to 634,038 and 863,559

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Solution

The third proportional to 634,038 and 863,559 is: 1,176,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,038 : 863,559 = 863,559 : x
  2. Step 2: Convert to fraction form
    634,038/863,559 = 863,559/x
  3. Step 3: Cross multiply
    634,038x = 863,559 × 863,559
  4. Step 4: Simplify right side
    634,038x = 745,734,146,481
  5. Step 5: Solve for x
    x = 745,734,146,481/634,038
  6. Step 6: Final answer
    x = 1,176,166.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.