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Finding the Third Proportional to 272,526,296 and 597,814,264

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Solution

The third proportional to 272,526,296 and 597,814,264 is: 1,311,366,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,526,296 : 597,814,264 = 597,814,264 : x
  2. Step 2: Convert to fraction form
    272,526,296/597,814,264 = 597,814,264/x
  3. Step 3: Cross multiply
    272,526,296x = 597,814,264 × 597,814,264
  4. Step 4: Simplify right side
    272,526,296x = 357,381,894,241,861,696
  5. Step 5: Solve for x
    x = 357,381,894,241,861,696/272,526,296
  6. Step 6: Final answer
    x = 1,311,366,644.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.