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Finding the Third Proportional to 259,032,249 and 528,469,697.25

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Solution

The third proportional to 259,032,249 and 528,469,697.25 is: 1,078,167,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,032,249 : 528,469,697.25 = 528,469,697.25 : x
  2. Step 2: Convert to fraction form
    259,032,249/528,469,697.25 = 528,469,697.25/x
  3. Step 3: Cross multiply
    259,032,249x = 528,469,697.25 × 528,469,697.25
  4. Step 4: Simplify right side
    259,032,249x = 279,280,220,911,506,656
  5. Step 5: Solve for x
    x = 279,280,220,911,506,656/259,032,249
  6. Step 6: Final answer
    x = 1,078,167,764.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.