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Finding the Third Proportional to 294,498,288 and 640,709,560

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Solution

The third proportional to 294,498,288 and 640,709,560 is: 1,393,925,727.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,498,288 : 640,709,560 = 640,709,560 : x
  2. Step 2: Convert to fraction form
    294,498,288/640,709,560 = 640,709,560/x
  3. Step 3: Cross multiply
    294,498,288x = 640,709,560 × 640,709,560
  4. Step 4: Simplify right side
    294,498,288x = 410,508,740,275,393,600
  5. Step 5: Solve for x
    x = 410,508,740,275,393,600/294,498,288
  6. Step 6: Final answer
    x = 1,393,925,727.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.