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Finding the Third Proportional to 357,717 and 758,080.50

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Solution

The third proportional to 357,717 and 758,080.50 is: 1,606,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,717 : 758,080.50 = 758,080.50 : x
  2. Step 2: Convert to fraction form
    357,717/758,080.50 = 758,080.50/x
  3. Step 3: Cross multiply
    357,717x = 758,080.50 × 758,080.50
  4. Step 4: Simplify right side
    357,717x = 574,686,044,480.25
  5. Step 5: Solve for x
    x = 574,686,044,480.25/357,717
  6. Step 6: Final answer
    x = 1,606,538.25

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.