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Finding the Third Proportional to 370,948 and 801,032

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Solution

The third proportional to 370,948 and 801,032 is: 1,729,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,948 : 801,032 = 801,032 : x
  2. Step 2: Convert to fraction form
    370,948/801,032 = 801,032/x
  3. Step 3: Cross multiply
    370,948x = 801,032 × 801,032
  4. Step 4: Simplify right side
    370,948x = 641,652,265,024
  5. Step 5: Solve for x
    x = 641,652,265,024/370,948
  6. Step 6: Final answer
    x = 1,729,763.38

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Why These Related Problems?

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