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Finding the Third Proportional to 413,624 and 604,015

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Solution

The third proportional to 413,624 and 604,015 is: 882,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,624 : 604,015 = 604,015 : x
  2. Step 2: Convert to fraction form
    413,624/604,015 = 604,015/x
  3. Step 3: Cross multiply
    413,624x = 604,015 × 604,015
  4. Step 4: Simplify right side
    413,624x = 364,834,120,225
  5. Step 5: Solve for x
    x = 364,834,120,225/413,624
  6. Step 6: Final answer
    x = 882,042.92

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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.