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Finding the Third Proportional to 262,429.50 and 706,938

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Solution

The third proportional to 262,429.50 and 706,938 is: 1,904,364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,429.50 : 706,938 = 706,938 : x
  2. Step 2: Convert to fraction form
    262,429.50/706,938 = 706,938/x
  3. Step 3: Cross multiply
    262,429.50x = 706,938 × 706,938
  4. Step 4: Simplify right side
    262,429.50x = 499,761,335,844
  5. Step 5: Solve for x
    x = 499,761,335,844/262,429.50
  6. Step 6: Final answer
    x = 1,904,364.17

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These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.