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Finding the Third Proportional to 475,825,940 and 727,415,264

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Solution

The third proportional to 475,825,940 and 727,415,264 is: 1,112,030,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,825,940 : 727,415,264 = 727,415,264 : x
  2. Step 2: Convert to fraction form
    475,825,940/727,415,264 = 727,415,264/x
  3. Step 3: Cross multiply
    475,825,940x = 727,415,264 × 727,415,264
  4. Step 4: Simplify right side
    475,825,940x = 529,132,966,300,189,696
  5. Step 5: Solve for x
    x = 529,132,966,300,189,696/475,825,940
  6. Step 6: Final answer
    x = 1,112,030,517.50

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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.