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Finding the Third Proportional to 340,017,296 and 720,895,230

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Solution

The third proportional to 340,017,296 and 720,895,230 is: 1,528,422,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,017,296 : 720,895,230 = 720,895,230 : x
  2. Step 2: Convert to fraction form
    340,017,296/720,895,230 = 720,895,230/x
  3. Step 3: Cross multiply
    340,017,296x = 720,895,230 × 720,895,230
  4. Step 4: Simplify right side
    340,017,296x = 519,689,932,636,752,896
  5. Step 5: Solve for x
    x = 519,689,932,636,752,896/340,017,296
  6. Step 6: Final answer
    x = 1,528,422,050.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.