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Finding the Third Proportional to 375,849 and 819,535.50

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Solution

The third proportional to 375,849 and 819,535.50 is: 1,786,990.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,849 : 819,535.50 = 819,535.50 : x
  2. Step 2: Convert to fraction form
    375,849/819,535.50 = 819,535.50/x
  3. Step 3: Cross multiply
    375,849x = 819,535.50 × 819,535.50
  4. Step 4: Simplify right side
    375,849x = 671,638,435,760.25
  5. Step 5: Solve for x
    x = 671,638,435,760.25/375,849
  6. Step 6: Final answer
    x = 1,786,990.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.