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Finding the Third Proportional to 307,460.81 and 674,152.88

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Solution

The third proportional to 307,460.81 and 674,152.88 is: 1,478,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,460.81 : 674,152.88 = 674,152.88 : x
  2. Step 2: Convert to fraction form
    307,460.81/674,152.88 = 674,152.88/x
  3. Step 3: Cross multiply
    307,460.81x = 674,152.88 × 674,152.88
  4. Step 4: Simplify right side
    307,460.81x = 454,482,098,870.77
  5. Step 5: Solve for x
    x = 454,482,098,870.77/307,460.81
  6. Step 6: Final answer
    x = 1,478,178.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.