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Finding the Third Proportional to 259,865,839 and 577,833,342

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Solution

The third proportional to 259,865,839 and 577,833,342 is: 1,284,860,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,865,839 : 577,833,342 = 577,833,342 : x
  2. Step 2: Convert to fraction form
    259,865,839/577,833,342 = 577,833,342/x
  3. Step 3: Cross multiply
    259,865,839x = 577,833,342 × 577,833,342
  4. Step 4: Simplify right side
    259,865,839x = 333,891,371,126,888,960
  5. Step 5: Solve for x
    x = 333,891,371,126,888,960/259,865,839
  6. Step 6: Final answer
    x = 1,284,860,574.26

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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.