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Finding the Third Proportional to 359,570 and 782,562

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Solution

The third proportional to 359,570 and 782,562 is: 1,703,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,570 : 782,562 = 782,562 : x
  2. Step 2: Convert to fraction form
    359,570/782,562 = 782,562/x
  3. Step 3: Cross multiply
    359,570x = 782,562 × 782,562
  4. Step 4: Simplify right side
    359,570x = 612,403,283,844
  5. Step 5: Solve for x
    x = 612,403,283,844/359,570
  6. Step 6: Final answer
    x = 1,703,154.56

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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.