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Finding the Third Proportional to 471,998,264 and 740,425,332

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Solution

The third proportional to 471,998,264 and 740,425,332 is: 1,161,507,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,998,264 : 740,425,332 = 740,425,332 : x
  2. Step 2: Convert to fraction form
    471,998,264/740,425,332 = 740,425,332/x
  3. Step 3: Cross multiply
    471,998,264x = 740,425,332 × 740,425,332
  4. Step 4: Simplify right side
    471,998,264x = 548,229,672,267,310,208
  5. Step 5: Solve for x
    x = 548,229,672,267,310,208/471,998,264
  6. Step 6: Final answer
    x = 1,161,507,814.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.