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Finding the Third Proportional to 608,725.13 and 946,243.69

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Solution

The third proportional to 608,725.13 and 946,243.69 is: 1,470,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,725.13 : 946,243.69 = 946,243.69 : x
  2. Step 2: Convert to fraction form
    608,725.13/946,243.69 = 946,243.69/x
  3. Step 3: Cross multiply
    608,725.13x = 946,243.69 × 946,243.69
  4. Step 4: Simplify right side
    608,725.13x = 895,377,116,133.60
  5. Step 5: Solve for x
    x = 895,377,116,133.60/608,725.13
  6. Step 6: Final answer
    x = 1,470,905.47

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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.