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Finding the Third Proportional to 254,717,224 and 545,760,628

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Solution

The third proportional to 254,717,224 and 545,760,628 is: 1,169,354,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,717,224 : 545,760,628 = 545,760,628 : x
  2. Step 2: Convert to fraction form
    254,717,224/545,760,628 = 545,760,628/x
  3. Step 3: Cross multiply
    254,717,224x = 545,760,628 × 545,760,628
  4. Step 4: Simplify right side
    254,717,224x = 297,854,663,074,954,368
  5. Step 5: Solve for x
    x = 297,854,663,074,954,368/254,717,224
  6. Step 6: Final answer
    x = 1,169,354,228.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.