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Finding the Third Proportional to 359,624 and 775,336

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Solution

The third proportional to 359,624 and 775,336 is: 1,671,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,624 : 775,336 = 775,336 : x
  2. Step 2: Convert to fraction form
    359,624/775,336 = 775,336/x
  3. Step 3: Cross multiply
    359,624x = 775,336 × 775,336
  4. Step 4: Simplify right side
    359,624x = 601,145,912,896
  5. Step 5: Solve for x
    x = 601,145,912,896/359,624
  6. Step 6: Final answer
    x = 1,671,595.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.