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Finding the Third Proportional to 294,498,236 and 640,709,464

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Solution

The third proportional to 294,498,236 and 640,709,464 is: 1,393,925,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,498,236 : 640,709,464 = 640,709,464 : x
  2. Step 2: Convert to fraction form
    294,498,236/640,709,464 = 640,709,464/x
  3. Step 3: Cross multiply
    294,498,236x = 640,709,464 × 640,709,464
  4. Step 4: Simplify right side
    294,498,236x = 410,508,617,259,167,296
  5. Step 5: Solve for x
    x = 410,508,617,259,167,296/294,498,236
  6. Step 6: Final answer
    x = 1,393,925,555.67

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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.