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Finding the Third Proportional to 475,825,946 and 727,415,273

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Solution

The third proportional to 475,825,946 and 727,415,273 is: 1,112,030,531.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,825,946 : 727,415,273 = 727,415,273 : x
  2. Step 2: Convert to fraction form
    475,825,946/727,415,273 = 727,415,273/x
  3. Step 3: Cross multiply
    475,825,946x = 727,415,273 × 727,415,273
  4. Step 4: Simplify right side
    475,825,946x = 529,132,979,393,664,512
  5. Step 5: Solve for x
    x = 529,132,979,393,664,512/475,825,946
  6. Step 6: Final answer
    x = 1,112,030,531.00

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Why These Related Problems?

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