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Finding the Third Proportional to 468,064.50 and 706,230

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Solution

The third proportional to 468,064.50 and 706,230 is: 1,065,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,064.50 : 706,230 = 706,230 : x
  2. Step 2: Convert to fraction form
    468,064.50/706,230 = 706,230/x
  3. Step 3: Cross multiply
    468,064.50x = 706,230 × 706,230
  4. Step 4: Simplify right side
    468,064.50x = 498,760,812,900
  5. Step 5: Solve for x
    x = 498,760,812,900/468,064.50
  6. Step 6: Final answer
    x = 1,065,581.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.