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Finding the Third Proportional to 270,399,498 and 583,903,380

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Solution

The third proportional to 270,399,498 and 583,903,380 is: 1,260,886,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,399,498 : 583,903,380 = 583,903,380 : x
  2. Step 2: Convert to fraction form
    270,399,498/583,903,380 = 583,903,380/x
  3. Step 3: Cross multiply
    270,399,498x = 583,903,380 × 583,903,380
  4. Step 4: Simplify right side
    270,399,498x = 340,943,157,175,424,384
  5. Step 5: Solve for x
    x = 340,943,157,175,424,384/270,399,498
  6. Step 6: Final answer
    x = 1,260,886,797.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.