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Finding the Third Proportional to 370,842 and 797,592

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Solution

The third proportional to 370,842 and 797,592 is: 1,715,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,842 : 797,592 = 797,592 : x
  2. Step 2: Convert to fraction form
    370,842/797,592 = 797,592/x
  3. Step 3: Cross multiply
    370,842x = 797,592 × 797,592
  4. Step 4: Simplify right side
    370,842x = 636,152,998,464
  5. Step 5: Solve for x
    x = 636,152,998,464/370,842
  6. Step 6: Final answer
    x = 1,715,428.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.