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Finding the Third Proportional to 500,309,708 and 775,619,384

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Solution

The third proportional to 500,309,708 and 775,619,384 is: 1,202,426,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,309,708 : 775,619,384 = 775,619,384 : x
  2. Step 2: Convert to fraction form
    500,309,708/775,619,384 = 775,619,384/x
  3. Step 3: Cross multiply
    500,309,708x = 775,619,384 × 775,619,384
  4. Step 4: Simplify right side
    500,309,708x = 601,585,428,836,539,392
  5. Step 5: Solve for x
    x = 601,585,428,836,539,392/500,309,708
  6. Step 6: Final answer
    x = 1,202,426,055.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.