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Finding the Third Proportional to 258,596,474 and 574,588,566

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Solution

The third proportional to 258,596,474 and 574,588,566 is: 1,276,707,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,596,474 : 574,588,566 = 574,588,566 : x
  2. Step 2: Convert to fraction form
    258,596,474/574,588,566 = 574,588,566/x
  3. Step 3: Cross multiply
    258,596,474x = 574,588,566 × 574,588,566
  4. Step 4: Simplify right side
    258,596,474x = 330,152,020,177,936,384
  5. Step 5: Solve for x
    x = 330,152,020,177,936,384/258,596,474
  6. Step 6: Final answer
    x = 1,276,707,354.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.