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Finding the Third Proportional to 436,424 and 592,424

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Solution

The third proportional to 436,424 and 592,424 is: 804,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,424 : 592,424 = 592,424 : x
  2. Step 2: Convert to fraction form
    436,424/592,424 = 592,424/x
  3. Step 3: Cross multiply
    436,424x = 592,424 × 592,424
  4. Step 4: Simplify right side
    436,424x = 350,966,195,776
  5. Step 5: Solve for x
    x = 350,966,195,776/436,424
  6. Step 6: Final answer
    x = 804,186.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.