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Finding the Third Proportional to 450,738 and 674,700

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Solution

The third proportional to 450,738 and 674,700 is: 1,009,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,738 : 674,700 = 674,700 : x
  2. Step 2: Convert to fraction form
    450,738/674,700 = 674,700/x
  3. Step 3: Cross multiply
    450,738x = 674,700 × 674,700
  4. Step 4: Simplify right side
    450,738x = 455,220,090,000
  5. Step 5: Solve for x
    x = 455,220,090,000/450,738
  6. Step 6: Final answer
    x = 1,009,943.89

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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.