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Finding the Third Proportional to 475,825,402 and 727,414,404

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Solution

The third proportional to 475,825,402 and 727,414,404 is: 1,112,029,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,825,402 : 727,414,404 = 727,414,404 : x
  2. Step 2: Convert to fraction form
    475,825,402/727,414,404 = 727,414,404/x
  3. Step 3: Cross multiply
    475,825,402x = 727,414,404 × 727,414,404
  4. Step 4: Simplify right side
    475,825,402x = 529,131,715,146,675,200
  5. Step 5: Solve for x
    x = 529,131,715,146,675,200/475,825,402
  6. Step 6: Final answer
    x = 1,112,029,145.40

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.