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Finding the Third Proportional to 370,114.31 and 557,907.75

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Solution

The third proportional to 370,114.31 and 557,907.75 is: 840,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,114.31 : 557,907.75 = 557,907.75 : x
  2. Step 2: Convert to fraction form
    370,114.31/557,907.75 = 557,907.75/x
  3. Step 3: Cross multiply
    370,114.31x = 557,907.75 × 557,907.75
  4. Step 4: Simplify right side
    370,114.31x = 311,261,057,510.06
  5. Step 5: Solve for x
    x = 311,261,057,510.06/370,114.31
  6. Step 6: Final answer
    x = 840,986.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.