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Finding the Third Proportional to 475,932 and 736,938

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Solution

The third proportional to 475,932 and 736,938 is: 1,141,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,932 : 736,938 = 736,938 : x
  2. Step 2: Convert to fraction form
    475,932/736,938 = 736,938/x
  3. Step 3: Cross multiply
    475,932x = 736,938 × 736,938
  4. Step 4: Simplify right side
    475,932x = 543,077,615,844
  5. Step 5: Solve for x
    x = 543,077,615,844/475,932
  6. Step 6: Final answer
    x = 1,141,082.37

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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.