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Finding the Third Proportional to 254,894,007.09 and 393,600,924.42

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Solution

The third proportional to 254,894,007.09 and 393,600,924.42 is: 607,788,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,894,007.09 : 393,600,924.42 = 393,600,924.42 : x
  2. Step 2: Convert to fraction form
    254,894,007.09/393,600,924.42 = 393,600,924.42/x
  3. Step 3: Cross multiply
    254,894,007.09x = 393,600,924.42 × 393,600,924.42
  4. Step 4: Simplify right side
    254,894,007.09x = 154,921,687,705,758,496
  5. Step 5: Solve for x
    x = 154,921,687,705,758,496/254,894,007.09
  6. Step 6: Final answer
    x = 607,788,662.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.