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Finding the Third Proportional to 254,717,190 and 545,760,574

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Solution

The third proportional to 254,717,190 and 545,760,574 is: 1,169,354,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,717,190 : 545,760,574 = 545,760,574 : x
  2. Step 2: Convert to fraction form
    254,717,190/545,760,574 = 545,760,574/x
  3. Step 3: Cross multiply
    254,717,190x = 545,760,574 × 545,760,574
  4. Step 4: Simplify right side
    254,717,190x = 297,854,604,132,809,472
  5. Step 5: Solve for x
    x = 297,854,604,132,809,472/254,717,190
  6. Step 6: Final answer
    x = 1,169,354,153.65

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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.