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Finding the Third Proportional to 338,638.50 and 723,933

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Solution

The third proportional to 338,638.50 and 723,933 is: 1,547,606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,638.50 : 723,933 = 723,933 : x
  2. Step 2: Convert to fraction form
    338,638.50/723,933 = 723,933/x
  3. Step 3: Cross multiply
    338,638.50x = 723,933 × 723,933
  4. Step 4: Simplify right side
    338,638.50x = 524,078,988,489
  5. Step 5: Solve for x
    x = 524,078,988,489/338,638.50
  6. Step 6: Final answer
    x = 1,547,606.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.