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Finding the Third Proportional to 475,264,226 and 756,238,791

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Solution

The third proportional to 475,264,226 and 756,238,791 is: 1,203,324,546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,264,226 : 756,238,791 = 756,238,791 : x
  2. Step 2: Convert to fraction form
    475,264,226/756,238,791 = 756,238,791/x
  3. Step 3: Cross multiply
    475,264,226x = 756,238,791 × 756,238,791
  4. Step 4: Simplify right side
    475,264,226x = 571,897,109,013,141,696
  5. Step 5: Solve for x
    x = 571,897,109,013,141,696/475,264,226
  6. Step 6: Final answer
    x = 1,203,324,546.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.