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Finding the Third Proportional to 273,936,294 and 586,659,600

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Solution

The third proportional to 273,936,294 and 586,659,600 is: 1,256,385,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,936,294 : 586,659,600 = 586,659,600 : x
  2. Step 2: Convert to fraction form
    273,936,294/586,659,600 = 586,659,600/x
  3. Step 3: Cross multiply
    273,936,294x = 586,659,600 × 586,659,600
  4. Step 4: Simplify right side
    273,936,294x = 344,169,486,272,160,000
  5. Step 5: Solve for x
    x = 344,169,486,272,160,000/273,936,294
  6. Step 6: Final answer
    x = 1,256,385,129.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.