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Finding the Third Proportional to 329,000,195.25 and 511,071,059.25

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Solution

The third proportional to 329,000,195.25 and 511,071,059.25 is: 793,901,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,000,195.25 : 511,071,059.25 = 511,071,059.25 : x
  2. Step 2: Convert to fraction form
    329,000,195.25/511,071,059.25 = 511,071,059.25/x
  3. Step 3: Cross multiply
    329,000,195.25x = 511,071,059.25 × 511,071,059.25
  4. Step 4: Simplify right side
    329,000,195.25x = 261,193,627,602,917,024
  5. Step 5: Solve for x
    x = 261,193,627,602,917,024/329,000,195.25
  6. Step 6: Final answer
    x = 793,901,132.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.