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Finding the Third Proportional to 436,420 and 592,326

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Solution

The third proportional to 436,420 and 592,326 is: 803,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,420 : 592,326 = 592,326 : x
  2. Step 2: Convert to fraction form
    436,420/592,326 = 592,326/x
  3. Step 3: Cross multiply
    436,420x = 592,326 × 592,326
  4. Step 4: Simplify right side
    436,420x = 350,850,090,276
  5. Step 5: Solve for x
    x = 350,850,090,276/436,420
  6. Step 6: Final answer
    x = 803,927.62

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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.