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Finding the Third Proportional to 467,773 and 705,870

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Solution

The third proportional to 467,773 and 705,870 is: 1,065,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,773 : 705,870 = 705,870 : x
  2. Step 2: Convert to fraction form
    467,773/705,870 = 705,870/x
  3. Step 3: Cross multiply
    467,773x = 705,870 × 705,870
  4. Step 4: Simplify right side
    467,773x = 498,252,456,900
  5. Step 5: Solve for x
    x = 498,252,456,900/467,773
  6. Step 6: Final answer
    x = 1,065,158.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.