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Finding the Third Proportional to 468,677 and 699,948

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Solution

The third proportional to 468,677 and 699,948 is: 1,045,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,677 : 699,948 = 699,948 : x
  2. Step 2: Convert to fraction form
    468,677/699,948 = 699,948/x
  3. Step 3: Cross multiply
    468,677x = 699,948 × 699,948
  4. Step 4: Simplify right side
    468,677x = 489,927,202,704
  5. Step 5: Solve for x
    x = 489,927,202,704/468,677
  6. Step 6: Final answer
    x = 1,045,340.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.