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Finding the Third Proportional to 448,459 and 695,105

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Solution

The third proportional to 448,459 and 695,105 is: 1,077,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,459 : 695,105 = 695,105 : x
  2. Step 2: Convert to fraction form
    448,459/695,105 = 695,105/x
  3. Step 3: Cross multiply
    448,459x = 695,105 × 695,105
  4. Step 4: Simplify right side
    448,459x = 483,170,961,025
  5. Step 5: Solve for x
    x = 483,170,961,025/448,459
  6. Step 6: Final answer
    x = 1,077,402.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.