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Finding the Third Proportional to 444,464.50 and 706,062

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Solution

The third proportional to 444,464.50 and 706,062 is: 1,121,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,464.50 : 706,062 = 706,062 : x
  2. Step 2: Convert to fraction form
    444,464.50/706,062 = 706,062/x
  3. Step 3: Cross multiply
    444,464.50x = 706,062 × 706,062
  4. Step 4: Simplify right side
    444,464.50x = 498,523,547,844
  5. Step 5: Solve for x
    x = 498,523,547,844/444,464.50
  6. Step 6: Final answer
    x = 1,121,627.37

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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.