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Finding the Third Proportional to 436,273,366.50 and 652,864,320

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Solution

The third proportional to 436,273,366.50 and 652,864,320 is: 976,983,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,273,366.50 : 652,864,320 = 652,864,320 : x
  2. Step 2: Convert to fraction form
    436,273,366.50/652,864,320 = 652,864,320/x
  3. Step 3: Cross multiply
    436,273,366.50x = 652,864,320 × 652,864,320
  4. Step 4: Simplify right side
    436,273,366.50x = 426,231,820,329,062,400
  5. Step 5: Solve for x
    x = 426,231,820,329,062,400/436,273,366.50
  6. Step 6: Final answer
    x = 976,983,361.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.