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Finding the Third Proportional to 496,655 and 743,004.50

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Solution

The third proportional to 496,655 and 743,004.50 is: 1,111,547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,655 : 743,004.50 = 743,004.50 : x
  2. Step 2: Convert to fraction form
    496,655/743,004.50 = 743,004.50/x
  3. Step 3: Cross multiply
    496,655x = 743,004.50 × 743,004.50
  4. Step 4: Simplify right side
    496,655x = 552,055,687,020.25
  5. Step 5: Solve for x
    x = 552,055,687,020.25/496,655
  6. Step 6: Final answer
    x = 1,111,547.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.