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Finding the Third Proportional to 393,678.56 and 610,748.44

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Solution

The third proportional to 393,678.56 and 610,748.44 is: 947,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,678.56 : 610,748.44 = 610,748.44 : x
  2. Step 2: Convert to fraction form
    393,678.56/610,748.44 = 610,748.44/x
  3. Step 3: Cross multiply
    393,678.56x = 610,748.44 × 610,748.44
  4. Step 4: Simplify right side
    393,678.56x = 373,013,653,908.69
  5. Step 5: Solve for x
    x = 373,013,653,908.69/393,678.56
  6. Step 6: Final answer
    x = 947,508.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.