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Finding the Third Proportional to 230,548,590 and 494,046,504

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Solution

The third proportional to 230,548,590 and 494,046,504 is: 1,058,700,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,548,590 : 494,046,504 = 494,046,504 : x
  2. Step 2: Convert to fraction form
    230,548,590/494,046,504 = 494,046,504/x
  3. Step 3: Cross multiply
    230,548,590x = 494,046,504 × 494,046,504
  4. Step 4: Simplify right side
    230,548,590x = 244,081,948,114,622,016
  5. Step 5: Solve for x
    x = 244,081,948,114,622,016/230,548,590
  6. Step 6: Final answer
    x = 1,058,700,676.13

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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.