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Finding the Third Proportional to 359,556 and 782,508

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Solution

The third proportional to 359,556 and 782,508 is: 1,702,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,556 : 782,508 = 782,508 : x
  2. Step 2: Convert to fraction form
    359,556/782,508 = 782,508/x
  3. Step 3: Cross multiply
    359,556x = 782,508 × 782,508
  4. Step 4: Simplify right side
    359,556x = 612,318,770,064
  5. Step 5: Solve for x
    x = 612,318,770,064/359,556
  6. Step 6: Final answer
    x = 1,702,985.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.