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Finding the Third Proportional to 272,526,298 and 597,814,268

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Solution

The third proportional to 272,526,298 and 597,814,268 is: 1,311,366,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,526,298 : 597,814,268 = 597,814,268 : x
  2. Step 2: Convert to fraction form
    272,526,298/597,814,268 = 597,814,268/x
  3. Step 3: Cross multiply
    272,526,298x = 597,814,268 × 597,814,268
  4. Step 4: Simplify right side
    272,526,298x = 357,381,899,024,375,808
  5. Step 5: Solve for x
    x = 357,381,899,024,375,808/272,526,298
  6. Step 6: Final answer
    x = 1,311,366,652.13

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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.