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Finding the Third Proportional to 348,296.63 and 531,453.38

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Solution

The third proportional to 348,296.63 and 531,453.38 is: 810,925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,296.63 : 531,453.38 = 531,453.38 : x
  2. Step 2: Convert to fraction form
    348,296.63/531,453.38 = 531,453.38/x
  3. Step 3: Cross multiply
    348,296.63x = 531,453.38 × 531,453.38
  4. Step 4: Simplify right side
    348,296.63x = 282,442,689,798.89
  5. Step 5: Solve for x
    x = 282,442,689,798.89/348,296.63
  6. Step 6: Final answer
    x = 810,925.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.