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Finding the Third Proportional to 359,563 and 782,549

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Solution

The third proportional to 359,563 and 782,549 is: 1,703,131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,563 : 782,549 = 782,549 : x
  2. Step 2: Convert to fraction form
    359,563/782,549 = 782,549/x
  3. Step 3: Cross multiply
    359,563x = 782,549 × 782,549
  4. Step 4: Simplify right side
    359,563x = 612,382,937,401
  5. Step 5: Solve for x
    x = 612,382,937,401/359,563
  6. Step 6: Final answer
    x = 1,703,131.13

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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.