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Finding the Third Proportional to 294,498,234 and 640,709,460

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Solution

The third proportional to 294,498,234 and 640,709,460 is: 1,393,925,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,498,234 : 640,709,460 = 640,709,460 : x
  2. Step 2: Convert to fraction form
    294,498,234/640,709,460 = 640,709,460/x
  3. Step 3: Cross multiply
    294,498,234x = 640,709,460 × 640,709,460
  4. Step 4: Simplify right side
    294,498,234x = 410,508,612,133,491,584
  5. Step 5: Solve for x
    x = 410,508,612,133,491,584/294,498,234
  6. Step 6: Final answer
    x = 1,393,925,547.73

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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.