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Finding the Third Proportional to 608,423.91 and 945,822.38

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Solution

The third proportional to 608,423.91 and 945,822.38 is: 1,470,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,423.91 : 945,822.38 = 945,822.38 : x
  2. Step 2: Convert to fraction form
    608,423.91/945,822.38 = 945,822.38/x
  3. Step 3: Cross multiply
    608,423.91x = 945,822.38 × 945,822.38
  4. Step 4: Simplify right side
    608,423.91x = 894,579,965,050.64
  5. Step 5: Solve for x
    x = 894,579,965,050.64/608,423.91
  6. Step 6: Final answer
    x = 1,470,323.50

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Why These Related Problems?

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