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Finding the Third Proportional to 359,583 and 782,556

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Solution

The third proportional to 359,583 and 782,556 is: 1,703,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,583 : 782,556 = 782,556 : x
  2. Step 2: Convert to fraction form
    359,583/782,556 = 782,556/x
  3. Step 3: Cross multiply
    359,583x = 782,556 × 782,556
  4. Step 4: Simplify right side
    359,583x = 612,393,893,136
  5. Step 5: Solve for x
    x = 612,393,893,136/359,583
  6. Step 6: Final answer
    x = 1,703,066.87

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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.