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Finding the Third Proportional to 254,894,046.50 and 393,600,980.75

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Solution

The third proportional to 254,894,046.50 and 393,600,980.75 is: 607,788,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,894,046.50 : 393,600,980.75 = 393,600,980.75 : x
  2. Step 2: Convert to fraction form
    254,894,046.50/393,600,980.75 = 393,600,980.75/x
  3. Step 3: Cross multiply
    254,894,046.50x = 393,600,980.75 × 393,600,980.75
  4. Step 4: Simplify right side
    254,894,046.50x = 154,921,732,047,361,856
  5. Step 5: Solve for x
    x = 154,921,732,047,361,856/254,894,046.50
  6. Step 6: Final answer
    x = 607,788,742.71

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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.