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Finding the Third Proportional to 259,866,685 and 577,835,372

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Solution

The third proportional to 259,866,685 and 577,835,372 is: 1,284,865,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,866,685 : 577,835,372 = 577,835,372 : x
  2. Step 2: Convert to fraction form
    259,866,685/577,835,372 = 577,835,372/x
  3. Step 3: Cross multiply
    259,866,685x = 577,835,372 × 577,835,372
  4. Step 4: Simplify right side
    259,866,685x = 333,893,717,134,378,368
  5. Step 5: Solve for x
    x = 333,893,717,134,378,368/259,866,685
  6. Step 6: Final answer
    x = 1,284,865,419.11

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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.