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Finding the Third Proportional to 338,308 and 736,888

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Solution

The third proportional to 338,308 and 736,888 is: 1,605,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,308 : 736,888 = 736,888 : x
  2. Step 2: Convert to fraction form
    338,308/736,888 = 736,888/x
  3. Step 3: Cross multiply
    338,308x = 736,888 × 736,888
  4. Step 4: Simplify right side
    338,308x = 543,003,924,544
  5. Step 5: Solve for x
    x = 543,003,924,544/338,308
  6. Step 6: Final answer
    x = 1,605,057.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.