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Finding the Third Proportional to 511,696,020 and 729,270,558

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Solution

The third proportional to 511,696,020 and 729,270,558 is: 1,039,358,380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,696,020 : 729,270,558 = 729,270,558 : x
  2. Step 2: Convert to fraction form
    511,696,020/729,270,558 = 729,270,558/x
  3. Step 3: Cross multiply
    511,696,020x = 729,270,558 × 729,270,558
  4. Step 4: Simplify right side
    511,696,020x = 531,835,546,765,631,360
  5. Step 5: Solve for x
    x = 531,835,546,765,631,360/511,696,020
  6. Step 6: Final answer
    x = 1,039,358,380.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.