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Finding the Third Proportional to 359,388 and 782,526

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Solution

The third proportional to 359,388 and 782,526 is: 1,703,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,388 : 782,526 = 782,526 : x
  2. Step 2: Convert to fraction form
    359,388/782,526 = 782,526/x
  3. Step 3: Cross multiply
    359,388x = 782,526 × 782,526
  4. Step 4: Simplify right side
    359,388x = 612,346,940,676
  5. Step 5: Solve for x
    x = 612,346,940,676/359,388
  6. Step 6: Final answer
    x = 1,703,860.29

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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.