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Finding the Third Proportional to 413,638 and 604,036

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Solution

The third proportional to 413,638 and 604,036 is: 882,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,638 : 604,036 = 604,036 : x
  2. Step 2: Convert to fraction form
    413,638/604,036 = 604,036/x
  3. Step 3: Cross multiply
    413,638x = 604,036 × 604,036
  4. Step 4: Simplify right side
    413,638x = 364,859,489,296
  5. Step 5: Solve for x
    x = 364,859,489,296/413,638
  6. Step 6: Final answer
    x = 882,074.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.