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Finding the Third Proportional to 375,914 and 810,510.50

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Solution

The third proportional to 375,914 and 810,510.50 is: 1,747,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,914 : 810,510.50 = 810,510.50 : x
  2. Step 2: Convert to fraction form
    375,914/810,510.50 = 810,510.50/x
  3. Step 3: Cross multiply
    375,914x = 810,510.50 × 810,510.50
  4. Step 4: Simplify right side
    375,914x = 656,927,270,610.25
  5. Step 5: Solve for x
    x = 656,927,270,610.25/375,914
  6. Step 6: Final answer
    x = 1,747,546.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.