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Finding the Third Proportional to 469,928 and 705,036

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Solution

The third proportional to 469,928 and 705,036 is: 1,057,770.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,928 : 705,036 = 705,036 : x
  2. Step 2: Convert to fraction form
    469,928/705,036 = 705,036/x
  3. Step 3: Cross multiply
    469,928x = 705,036 × 705,036
  4. Step 4: Simplify right side
    469,928x = 497,075,761,296
  5. Step 5: Solve for x
    x = 497,075,761,296/469,928
  6. Step 6: Final answer
    x = 1,057,770.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.