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Finding the Third Proportional to 370,840 and 797,588

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Solution

The third proportional to 370,840 and 797,588 is: 1,715,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,840 : 797,588 = 797,588 : x
  2. Step 2: Convert to fraction form
    370,840/797,588 = 797,588/x
  3. Step 3: Cross multiply
    370,840x = 797,588 × 797,588
  4. Step 4: Simplify right side
    370,840x = 636,146,617,744
  5. Step 5: Solve for x
    x = 636,146,617,744/370,840
  6. Step 6: Final answer
    x = 1,715,420.71

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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.