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Finding the Third Proportional to 259,866,702 and 577,835,406

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Solution

The third proportional to 259,866,702 and 577,835,406 is: 1,284,865,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,866,702 : 577,835,406 = 577,835,406 : x
  2. Step 2: Convert to fraction form
    259,866,702/577,835,406 = 577,835,406/x
  3. Step 3: Cross multiply
    259,866,702x = 577,835,406 × 577,835,406
  4. Step 4: Simplify right side
    259,866,702x = 333,893,756,427,184,832
  5. Step 5: Solve for x
    x = 333,893,756,427,184,832/259,866,702
  6. Step 6: Final answer
    x = 1,284,865,486.26

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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.