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Finding the Third Proportional to 475,940 and 736,950

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Solution

The third proportional to 475,940 and 736,950 is: 1,141,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,940 : 736,950 = 736,950 : x
  2. Step 2: Convert to fraction form
    475,940/736,950 = 736,950/x
  3. Step 3: Cross multiply
    475,940x = 736,950 × 736,950
  4. Step 4: Simplify right side
    475,940x = 543,095,302,500
  5. Step 5: Solve for x
    x = 543,095,302,500/475,940
  6. Step 6: Final answer
    x = 1,141,100.35

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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.