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Finding the Third Proportional to 436,418 and 592,323

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Solution

The third proportional to 436,418 and 592,323 is: 803,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,418 : 592,323 = 592,323 : x
  2. Step 2: Convert to fraction form
    436,418/592,323 = 592,323/x
  3. Step 3: Cross multiply
    436,418x = 592,323 × 592,323
  4. Step 4: Simplify right side
    436,418x = 350,846,536,329
  5. Step 5: Solve for x
    x = 350,846,536,329/436,418
  6. Step 6: Final answer
    x = 803,923.16

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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.