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Finding the Third Proportional to 230,382,801 and 507,724,955

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Solution

The third proportional to 230,382,801 and 507,724,955 is: 1,118,940,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,382,801 : 507,724,955 = 507,724,955 : x
  2. Step 2: Convert to fraction form
    230,382,801/507,724,955 = 507,724,955/x
  3. Step 3: Cross multiply
    230,382,801x = 507,724,955 × 507,724,955
  4. Step 4: Simplify right side
    230,382,801x = 257,784,629,929,752,032
  5. Step 5: Solve for x
    x = 257,784,629,929,752,032/230,382,801
  6. Step 6: Final answer
    x = 1,118,940,427.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.