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Finding the Third Proportional to 440,364 and 674,762.25

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Solution

The third proportional to 440,364 and 674,762.25 is: 1,033,926.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,364 : 674,762.25 = 674,762.25 : x
  2. Step 2: Convert to fraction form
    440,364/674,762.25 = 674,762.25/x
  3. Step 3: Cross multiply
    440,364x = 674,762.25 × 674,762.25
  4. Step 4: Simplify right side
    440,364x = 455,304,094,025.06
  5. Step 5: Solve for x
    x = 455,304,094,025.06/440,364
  6. Step 6: Final answer
    x = 1,033,926.69

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.