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Finding the Third Proportional to 297,992 and 702,808

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Solution

The third proportional to 297,992 and 702,808 is: 1,657,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,992 : 702,808 = 702,808 : x
  2. Step 2: Convert to fraction form
    297,992/702,808 = 702,808/x
  3. Step 3: Cross multiply
    297,992x = 702,808 × 702,808
  4. Step 4: Simplify right side
    297,992x = 493,939,084,864
  5. Step 5: Solve for x
    x = 493,939,084,864/297,992
  6. Step 6: Final answer
    x = 1,657,558.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.