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Finding the Third Proportional to 338,738 and 736,526

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Solution

The third proportional to 338,738 and 736,526 is: 1,601,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,738 : 736,526 = 736,526 : x
  2. Step 2: Convert to fraction form
    338,738/736,526 = 736,526/x
  3. Step 3: Cross multiply
    338,738x = 736,526 × 736,526
  4. Step 4: Simplify right side
    338,738x = 542,470,548,676
  5. Step 5: Solve for x
    x = 542,470,548,676/338,738
  6. Step 6: Final answer
    x = 1,601,445.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.