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Finding the Third Proportional to 409,577,504 and 599,038,080

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Solution

The third proportional to 409,577,504 and 599,038,080 is: 876,138,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,577,504 : 599,038,080 = 599,038,080 : x
  2. Step 2: Convert to fraction form
    409,577,504/599,038,080 = 599,038,080/x
  3. Step 3: Cross multiply
    409,577,504x = 599,038,080 × 599,038,080
  4. Step 4: Simplify right side
    409,577,504x = 358,846,621,290,086,400
  5. Step 5: Solve for x
    x = 358,846,621,290,086,400/409,577,504
  6. Step 6: Final answer
    x = 876,138,503.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.