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Finding the Third Proportional to 436,416 and 592,320

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Solution

The third proportional to 436,416 and 592,320 is: 803,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,416 : 592,320 = 592,320 : x
  2. Step 2: Convert to fraction form
    436,416/592,320 = 592,320/x
  3. Step 3: Cross multiply
    436,416x = 592,320 × 592,320
  4. Step 4: Simplify right side
    436,416x = 350,842,982,400
  5. Step 5: Solve for x
    x = 350,842,982,400/436,416
  6. Step 6: Final answer
    x = 803,918.70

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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.