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Finding the Third Proportional to 450,707 and 674,656.50

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Solution

The third proportional to 450,707 and 674,656.50 is: 1,009,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,707 : 674,656.50 = 674,656.50 : x
  2. Step 2: Convert to fraction form
    450,707/674,656.50 = 674,656.50/x
  3. Step 3: Cross multiply
    450,707x = 674,656.50 × 674,656.50
  4. Step 4: Simplify right side
    450,707x = 455,161,392,992.25
  5. Step 5: Solve for x
    x = 455,161,392,992.25/450,707
  6. Step 6: Final answer
    x = 1,009,883.12

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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.