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Finding the Third Proportional to 409,577,476.50 and 599,038,044.75

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Solution

The third proportional to 409,577,476.50 and 599,038,044.75 is: 876,138,458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,577,476.50 : 599,038,044.75 = 599,038,044.75 : x
  2. Step 2: Convert to fraction form
    409,577,476.50/599,038,044.75 = 599,038,044.75/x
  3. Step 3: Cross multiply
    409,577,476.50x = 599,038,044.75 × 599,038,044.75
  4. Step 4: Simplify right side
    409,577,476.50x = 358,846,579,057,902,976
  5. Step 5: Solve for x
    x = 358,846,579,057,902,976/409,577,476.50
  6. Step 6: Final answer
    x = 876,138,458.89

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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.