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Finding the Third Proportional to 295,012 and 469,062

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Solution

The third proportional to 295,012 and 469,062 is: 745,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,012 : 469,062 = 469,062 : x
  2. Step 2: Convert to fraction form
    295,012/469,062 = 469,062/x
  3. Step 3: Cross multiply
    295,012x = 469,062 × 469,062
  4. Step 4: Simplify right side
    295,012x = 220,019,159,844
  5. Step 5: Solve for x
    x = 220,019,159,844/295,012
  6. Step 6: Final answer
    x = 745,797.32

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.