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Finding the Third Proportional to 608,731.50 and 946,253.50

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Solution

The third proportional to 608,731.50 and 946,253.50 is: 1,470,920.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,731.50 : 946,253.50 = 946,253.50 : x
  2. Step 2: Convert to fraction form
    608,731.50/946,253.50 = 946,253.50/x
  3. Step 3: Cross multiply
    608,731.50x = 946,253.50 × 946,253.50
  4. Step 4: Simplify right side
    608,731.50x = 895,395,686,262.25
  5. Step 5: Solve for x
    x = 895,395,686,262.25/608,731.50
  6. Step 6: Final answer
    x = 1,470,920.57

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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.