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Finding the Third Proportional to 255,853,224 and 393,021,864

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Solution

The third proportional to 255,853,224 and 393,021,864 is: 603,729,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,853,224 : 393,021,864 = 393,021,864 : x
  2. Step 2: Convert to fraction form
    255,853,224/393,021,864 = 393,021,864/x
  3. Step 3: Cross multiply
    255,853,224x = 393,021,864 × 393,021,864
  4. Step 4: Simplify right side
    255,853,224x = 154,466,185,582,034,496
  5. Step 5: Solve for x
    x = 154,466,185,582,034,496/255,853,224
  6. Step 6: Final answer
    x = 603,729,682.07

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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.