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Finding the Third Proportional to 359,661 and 780,831

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Solution

The third proportional to 359,661 and 780,831 is: 1,695,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,661 : 780,831 = 780,831 : x
  2. Step 2: Convert to fraction form
    359,661/780,831 = 780,831/x
  3. Step 3: Cross multiply
    359,661x = 780,831 × 780,831
  4. Step 4: Simplify right side
    359,661x = 609,697,050,561
  5. Step 5: Solve for x
    x = 609,697,050,561/359,661
  6. Step 6: Final answer
    x = 1,695,199.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.