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Finding the Third Proportional to 300,004 and 633,730

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Solution

The third proportional to 300,004 and 633,730 is: 1,338,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,004 : 633,730 = 633,730 : x
  2. Step 2: Convert to fraction form
    300,004/633,730 = 633,730/x
  3. Step 3: Cross multiply
    300,004x = 633,730 × 633,730
  4. Step 4: Simplify right side
    300,004x = 401,613,712,900
  5. Step 5: Solve for x
    x = 401,613,712,900/300,004
  6. Step 6: Final answer
    x = 1,338,694.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.