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Finding the Third Proportional to 359,784 and 519,786

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Solution

The third proportional to 359,784 and 519,786 is: 750,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,784 : 519,786 = 519,786 : x
  2. Step 2: Convert to fraction form
    359,784/519,786 = 519,786/x
  3. Step 3: Cross multiply
    359,784x = 519,786 × 519,786
  4. Step 4: Simplify right side
    359,784x = 270,177,485,796
  5. Step 5: Solve for x
    x = 270,177,485,796/359,784
  6. Step 6: Final answer
    x = 750,943.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.